How to Find GCF of 6396/472, 7937/1736?

GCF of 6396/472, 7937/1736

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 6396/472, 7937/1736 i.e 1/102424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6396/472, 7937/1736.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6396/472,7937/1736?

Given fractions are 6396/472,7937/1736

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 6396/472,7937/1736, numerators are 6396,7937

Denominators are 472,1736

The GCF of 6396,7937 is 1 .

LCM of 472,1736 is 102424.

The greatest common factor of 6396/472,7937/1736 = [GCF of 6396,7937]/[LCM of 472,1736]= 1/102424

Therefore, the GCF of 6396/472,7937/1736 is 1/102424.

Greatest Common Factor of 6396,7937

To find the highest common factor of 6396,7937, we have to find the factors of both numbers and list the highest common factor.

The factors of 6396 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396

The factors of 7937 are 1, 7937

The HCF of 6396,7937 is 1.

Lets's calculate GCF of 6396,7937

Greatest Common Factor (GCF) of 6396,7937 By Common Division

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

Greatest Common Factor of 6396,7937 By Matching Biggest Common Factor Method

Now, list down the factors of 6396

1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396

Now, list down the factors of 7937

1,7937

Greatest Common Factor

We found the factors 6396,7937 . The biggest common factor number is the GCF number.
So the greatest common factor 6396,7937 is 1.

Lets's calculate LCM of 472,1736

Lowest Common Multiple of 472,1736 using Common Division

2	472, 1736
2	236, 868
2	118, 434
	59, 217

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 217 = 102424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102424

Therefore, the GCF of Fractions 6396/472,7937/1736 is 1/102424

Least Common Multiple of 472,1736 with GCF Formula

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

We need to calculate greatest common factor of 472,1736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,1736) = 8

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

GCF(472,1736) x common factors =8 x 1 = 8

LCM(472,1736) = ( 472 × 1736 ) / 8

LCM(472,1736) = 819392 / 8

LCM(472,1736) = 102424

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6396/472, 7937/1736

1. What is the HCF of 6396,7937?

The HCF of 6396,7937 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 6396/472, 7937/1736?

Answer: GCF of Numerators as per given numbers 6396/472, 7937/1736 is

GCF of Numerators i.e. for 6396,7937 is 1

LCM of denominators i.e. for 472,1736 is 102424.

Thus, GCF of Fractions is 1/102424.Finally, GCF of Fractions for 6396/472, 7937/1736 is 1/102424.