Hcf by long division method class 6

The HCF of two numbers can be determined in a variety of methods. Using the prime factorization method is one of the easiest ways to get the HCF of two or more numbers.

To find highest common factor by using division method is discussed here. Finding highest common factor H. F by prime factorization for large number is not very convenient. The method of long division is more useful for large numbers. In this method we first divide the greater number by the smaller number. The remainder becomes the new divisor and the previous divisor as the new dividend.

Hcf by long division method class 6

Example: Find HCF of 18 and We can find HCF of 18 and 48 by finding the highest common factors of 18 and HCF of numbers can also be found by prime factorization of the numbers. Example: Find the HCF of 30 and Therefore, Highest common factor H. Step1: Divide the two given numbers together by their common prime factors. Step2: Stop dividing when there is no common prime factor left. Step3: Multiply the common prime factors to find the HCF. Example 1: Find the HCF of 70, and Now we cannot divide further with common factor. Example 2: Find the HCF of 91, and The method of long division is more useful for large numbers. Step1: Identify the larger number from the given two numbers and divide the larger number by the smaller number.

The next step is to find the HCF of and What is the highest common factor of 70, and ?

Both the methods are explained here with many examples. We have provided the prime factors of the given numbers, such as 24, 12, 30, , etc. The least or smallest common multiple of any two or more given natural numbers are termed as LCM. The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers. In the prime factorization method , given numbers are written as the product of prime factors. While in the division method, given numbers are divided by the least common factor and continue still remainder is zero.

HCF of two numbers is the highest factor that can divide the two numbers, evenly. HCF can be evaluated for two or more than two numbers. It is the greatest divisor for any two or more numbers, that can equally or completely divide the given numbers. For Example: The Highest common factor of 60 and 75 is 15 because 15 is the largest number which can divide both 60 and 75 exactly. Let us discuss these two methods one by one in this article. So, HCF is 1. You have understood by now the method of finding the highest common factor using prime factorization. Now let us learn here to find HCF using the division method.

Hcf by long division method class 6

As we all know, the Highest Common Factor HCF as the name itself says, it's the method of finding the highest common factors of two or more than two numbers. It's the highest common number that can divide the given two or more two positive numbers equally. There are different methods through which we can find out the HCF of given numbers. Of Course, it can be used to find the HCF of small numbers but when it comes to large numbers , then the most suitable method is the Long Division Method. Come on, let us understand HCF by the long division method step by step with a few examples along the way. HCF of 2 numbers is the highest factor that can divide the two numbers easily. The highest common factor HCF can be evaluated for 2 or more than 2 numbers.

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Or want to know more information about Math Only Math. Finding highest common factor H. Step 1: Divide the larger number by the smaller number. We have provided the prime factors of the given numbers, such as 24, 12, 30, , etc. The divisor which does not leave a remainder is the H. To find highest common factor by using division method is discussed here. Divisibility Rule Of Find the HCF of 30 and Shahzil July 24, at pm. The last divisor will be the HCF of given numbers. Horizontal Line.

You have different questions for more practicing purposes. Students who feel finding the Highest Common Factors using the division method concept difficult and confusing can easily find HCF after referring to this article.

Step 2: The LCM of the given number is obtained by multiplying the prime factors raised to their respective highest power. FREE Signup. F of the two numbers. Step IV: The remainder becomes 0. To find highest common factor by using division method we follow these steps: Step I:. Thus, the least common multiple of 60, 84, and is This is a great I got it the answer this is the best app. All Rights Reserved. Ans: 9. Recent Articles. Step II: Identify the whole number. Take any two numbers and find out their HCF first.