Greatest Common Factor of 7956/742, 5668/5462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7956/742, 5668/5462

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 7956/742,5668/5462

Given fractions are 7956/742,5668/5462

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 7956,5668

Greatest Common Factor of Numerators i.e. GCF of 7956,5668 is 52 .

LCM of Denominators means LCM of 742,5462 as per the given fractions.

LCM of 742,5462 is 2026402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7956,5668

GCF of Fractions 7956/742,5668/5462 is 52/2026402

2 7956, 5668
2 3978, 2834
13 1989, 1417
153, 109

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 7956,5668 By Matching Biggest Common Factor Method

Greatest Common Factor of 7956,5668 By Matching Biggest Common Factor Method

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

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1,2,4,13,26,52,109,218,436,1417,2834,5668

Greatest Common Factor

We found the factors 7956,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 7956,5668 is 52.

Lets's calculate LCM of 742,5462

2 742, 5462
371, 2731

∴ So the LCM of the given numbers is 2 x 371 x 2731 = 2026402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/2026402

Therefore, the GCF of Fractions 7956/742,5668/5462 is 52/2026402

Least Common Multiple of 742,5462 with GCF Formula

Least Common Multiple of 742,5462 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 742,5462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,5462) = 2

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

GCF(742,5462) x common factors =2 x 1 = 2

LCM(742,5462) = ( 742 × 5462 ) / 2

LCM(742,5462) = 4052804 / 2

LCM(742,5462) = 2026402


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 7956/742, 5668/5462

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 7956/742, 5668/5462?

Answer: GCF of Numerators as per given numbers 7956/742, 5668/5462 is

GCF of Numerators i.e. for 7956,5668 is 52

LCM of denominators i.e. for 742,5462 is 2026402.

Thus, GCF of Fractions is 52/2026402.Finally, GCF of Fractions for 7956/742, 5668/5462 is 52/2026402.