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GCF of 979/26, 766/7917

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 979/26, 766/7917 i.e 1/15834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/26, 766/7917.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 979/26,766/7917?

Given fractions are 979/26,766/7917

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 979/26,766/7917, numerators are 979,766

Denominators are 26,7917

The GCF of 979,766 is 1 .

LCM of 26,7917 is 15834.

The greatest common factor of 979/26,766/7917 = [GCF of 979,766]/[LCM of 26,7917]= 1/15834

Therefore, the GCF of 979/26,766/7917 is 1/15834.

Greatest Common Factor of 979,766

To find the highest common factor of 979,766, we have to find the factors of both numbers and list the highest common factor.

The factors of 979 are 1, 11, 89, 979

The factors of 766 are 1, 2, 383, 766

The HCF of 979,766 is 1.

Lets's calculate GCF of 979,766

Greatest Common Factor (GCF) of 979,766 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 979,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,766 By Matching Biggest Common Factor Method

Now, list down the factors of 979

:

1,11,89,979

Now, list down the factors of 766

:

1,2,383,766

Greatest Common Factor

We found the factors 979,766 . The biggest common factor number is the GCF number.
So the greatest common factor 979,766 is 1.

Lets's calculate LCM of 26,7917

Lowest Common Multiple of 26,7917 using Common Division

13 26, 7917
2, 609

∴ So the LCM of the given numbers is 13 x 2 x 609 = 15834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15834

Therefore, the GCF of Fractions 979/26,766/7917 is 1/15834

Least Common Multiple of 26,7917 with GCF Formula

Least Common Multiple of 26,7917 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 26,7917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,7917) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(26,7917) x common factors =13 x 1 = 13

LCM(26,7917) = ( 26 × 7917 ) / 13

LCM(26,7917) = 205842 / 13

LCM(26,7917) = 15834


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FAQs on GCF of Fractions of 979/26, 766/7917

1. What is the HCF of 979,766?

The HCF of 979,766 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 979/26, 766/7917?

Answer: GCF of Numerators as per given numbers 979/26, 766/7917 is

GCF of Numerators i.e. for 979,766 is 1

LCM of denominators i.e. for 26,7917 is 15834.

Thus, GCF of Fractions is 1/15834.Finally, GCF of Fractions for 979/26, 766/7917 is 1/15834.