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GCF of 6979/657, 8647/945

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 6979/657, 8647/945 i.e 1/68985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6979/657, 8647/945.

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 6979/657,8647/945?

Given fractions are 6979/657,8647/945

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 6979/657,8647/945, numerators are 6979,8647

Denominators are 657,945

The GCF of 6979,8647 is 1 .

LCM of 657,945 is 68985.

The greatest common factor of 6979/657,8647/945 = [GCF of 6979,8647]/[LCM of 657,945]= 1/68985

Therefore, the GCF of 6979/657,8647/945 is 1/68985.

Greatest Common Factor of 6979,8647

To find the highest common factor of 6979,8647, we have to find the factors of both numbers and list the highest common factor.

The factors of 6979 are 1, 7, 997, 6979

The factors of 8647 are 1, 8647

The HCF of 6979,8647 is 1.

Lets's calculate GCF of 6979,8647

Greatest Common Factor (GCF) of 6979,8647 By Common Division

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

Greatest Common Factor of 6979,8647 By Matching Biggest Common Factor Method

Greatest Common Factor of 6979,8647 By Matching Biggest Common Factor Method

Now, list down the factors of 6979

:

1,7,997,6979

Now, list down the factors of 8647

:

1,8647

Greatest Common Factor

We found the factors 6979,8647 . The biggest common factor number is the GCF number.
So the greatest common factor 6979,8647 is 1.

Lets's calculate LCM of 657,945

Lowest Common Multiple of 657,945 using Common Division

3 657, 945
3 219, 315
73, 105

∴ So the LCM of the given numbers is 3 x 3 x 73 x 105 = 68985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68985

Therefore, the GCF of Fractions 6979/657,8647/945 is 1/68985

Least Common Multiple of 657,945 with GCF Formula

Least Common Multiple of 657,945 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 657,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,945) = 9

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

GCF(657,945) x common factors =9 x 1 = 9

LCM(657,945) = ( 657 × 945 ) / 9

LCM(657,945) = 620865 / 9

LCM(657,945) = 68985


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FAQs on GCF of Fractions of 6979/657, 8647/945

1. What is the HCF of 6979,8647?

The HCF of 6979,8647 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 6979/657, 8647/945?

Answer: GCF of Numerators as per given numbers 6979/657, 8647/945 is

GCF of Numerators i.e. for 6979,8647 is 1

LCM of denominators i.e. for 657,945 is 68985.

Thus, GCF of Fractions is 1/68985.Finally, GCF of Fractions for 6979/657, 8647/945 is 1/68985.