What is the HCF of 391, 425, and 527 by division method?

The highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

Answer: The HCF of 391, 425, and 527 by division method is 17.

The highest common factor(HCF) or the greatest common factor(GCF) of two numbers is the largest among all the common factors

Explanation:

Let us Find HCF of 391, 425, and 527 by division method:

• Divide 527 by 391 and check the remainder.
• Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
• Continue till you get the remainder as 0
• Take the GCF of 527 and 391 as the divisor for the next step
• Now, continue the long division process with the common factor(527, 391) as divisor and 85 as the dividend.
• Continue till you get the remainder as 0
• The final divisor where you get the remainder as 0 is the HCF(391,425, 527)

The HCF of a given set of numbers is unique and is independent of the method we choose.

Therefore, The HCF of 391, 425, and 527 by division method is 17