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GCF of 538/108, 3931/8978

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 538/108, 3931/8978 i.e 1/484812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 538/108, 3931/8978.

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 538/108,3931/8978?

Given fractions are 538/108,3931/8978

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 538/108,3931/8978, numerators are 538,3931

Denominators are 108,8978

The GCF of 538,3931 is 1 .

LCM of 108,8978 is 484812.

The greatest common factor of 538/108,3931/8978 = [GCF of 538,3931]/[LCM of 108,8978]= 1/484812

Therefore, the GCF of 538/108,3931/8978 is 1/484812.

Greatest Common Factor of 538,3931

To find the highest common factor of 538,3931, we have to find the factors of both numbers and list the highest common factor.

The factors of 538 are 1, 2, 269, 538

The factors of 3931 are 1, 3931

The HCF of 538,3931 is 1.

Lets's calculate GCF of 538,3931

Greatest Common Factor (GCF) of 538,3931 By Common Division

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

Greatest Common Factor of 538,3931 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,3931 By Matching Biggest Common Factor Method

Now, list down the factors of 538

:

1,2,269,538

Now, list down the factors of 3931

:

1,3931

Greatest Common Factor

We found the factors 538,3931 . The biggest common factor number is the GCF number.
So the greatest common factor 538,3931 is 1.

Lets's calculate LCM of 108,8978

Lowest Common Multiple of 108,8978 using Common Division

2 108, 8978
54, 4489

∴ So the LCM of the given numbers is 2 x 54 x 4489 = 484812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484812

Therefore, the GCF of Fractions 538/108,3931/8978 is 1/484812

Least Common Multiple of 108,8978 with GCF Formula

Least Common Multiple of 108,8978 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 108,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,8978) = 2

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

GCF(108,8978) x common factors =2 x 1 = 2

LCM(108,8978) = ( 108 × 8978 ) / 2

LCM(108,8978) = 969624 / 2

LCM(108,8978) = 484812


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FAQs on GCF of Fractions of 538/108, 3931/8978

1. What is the HCF of 538,3931?

The HCF of 538,3931 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 538/108, 3931/8978?

Answer: GCF of Numerators as per given numbers 538/108, 3931/8978 is

GCF of Numerators i.e. for 538,3931 is 1

LCM of denominators i.e. for 108,8978 is 484812.

Thus, GCF of Fractions is 1/484812.Finally, GCF of Fractions for 538/108, 3931/8978 is 1/484812.