Greatest Common Factor of 5488/841, 7956/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5488/841, 7956/130

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5488/841,7956/130

Given fractions are 5488/841,7956/130

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5488,7956

Greatest Common Factor of Numerators i.e. GCF of 5488,7956 is 4 .

LCM of Denominators means LCM of 841,130 as per the given fractions.

LCM of 841,130 is 109330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5488,7956

GCF of Fractions 5488/841,7956/130 is 4/109330

2 5488, 7956
2 2744, 3978
1372, 1989

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5488,7956 By Matching Biggest Common Factor Method

Greatest Common Factor of 5488,7956 By Matching Biggest Common Factor Method

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488

Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956

Greatest Common Factor

We found the factors 5488,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 5488,7956 is 4.

Lets's calculate LCM of 841,130

Given numbers has no common factors except 1. So, there LCM is their product i.e 109330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/109330

Therefore, the GCF of Fractions 5488/841,7956/130 is 4/109330

Least Common Multiple of 841,130 with GCF Formula

Least Common Multiple of 841,130 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 841,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,130) = 1

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

GCF(841,130) x common factors =1 x 1 = 1

LCM(841,130) = ( 841 × 130 ) / 1

LCM(841,130) = 109330 / 1

LCM(841,130) = 109330


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5488/841, 7956/130

1. 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.

2. What is the GCF of Fractions for 5488/841, 7956/130?

Answer: GCF of Numerators as per given numbers 5488/841, 7956/130 is

GCF of Numerators i.e. for 5488,7956 is 4

LCM of denominators i.e. for 841,130 is 109330.

Thus, GCF of Fractions is 4/109330.Finally, GCF of Fractions for 5488/841, 7956/130 is 4/109330.