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GCF of 1132/656, 7937/992

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 1132/656, 7937/992 i.e 1/40672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1132/656, 7937/992.

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 1132/656,7937/992?

Given fractions are 1132/656,7937/992

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 1132/656,7937/992, numerators are 1132,7937

Denominators are 656,992

The GCF of 1132,7937 is 1 .

LCM of 656,992 is 40672.

The greatest common factor of 1132/656,7937/992 = [GCF of 1132,7937]/[LCM of 656,992]= 1/40672

Therefore, the GCF of 1132/656,7937/992 is 1/40672.

Greatest Common Factor of 1132,7937

To find the highest common factor of 1132,7937, we have to find the factors of both numbers and list the highest common factor.

The factors of 1132 are 1, 2, 4, 283, 566, 1132

The factors of 7937 are 1, 7937

The HCF of 1132,7937 is 1.

Lets's calculate GCF of 1132,7937

Greatest Common Factor (GCF) of 1132,7937 By Common Division

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

Greatest Common Factor of 1132,7937 By Matching Biggest Common Factor Method

Greatest Common Factor of 1132,7937 By Matching Biggest Common Factor Method

Now, list down the factors of 1132

:

1,2,4,283,566,1132

Now, list down the factors of 7937

:

1,7937

Greatest Common Factor

We found the factors 1132,7937 . The biggest common factor number is the GCF number.
So the greatest common factor 1132,7937 is 1.

Lets's calculate LCM of 656,992

Lowest Common Multiple of 656,992 using Common Division

2 656, 992
2 328, 496
2 164, 248
2 82, 124
41, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 62 = 40672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40672

Therefore, the GCF of Fractions 1132/656,7937/992 is 1/40672

Least Common Multiple of 656,992 with GCF Formula

Least Common Multiple of 656,992 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 656,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,992) = 16

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

GCF(656,992) x common factors =16 x 1 = 16

LCM(656,992) = ( 656 × 992 ) / 16

LCM(656,992) = 650752 / 16

LCM(656,992) = 40672


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1132/656, 7937/992

1. What is the HCF of 1132,7937?

The HCF of 1132,7937 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 1132/656, 7937/992?

Answer: GCF of Numerators as per given numbers 1132/656, 7937/992 is

GCF of Numerators i.e. for 1132,7937 is 1

LCM of denominators i.e. for 656,992 is 40672.

Thus, GCF of Fractions is 1/40672.Finally, GCF of Fractions for 1132/656, 7937/992 is 1/40672.