Greatest Common Factor of 6762/534, 5663/1242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6762/534, 5663/1242

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 6762/534,5663/1242

Given fractions are 6762/534,5663/1242

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 6762,5663

Greatest Common Factor of Numerators i.e. GCF of 6762,5663 is 7 .

LCM of Denominators means LCM of 534,1242 as per the given fractions.

LCM of 534,1242 is 110538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6762,5663

GCF of Fractions 6762/534,5663/1242 is 7/110538

7 6762, 5663
966, 809

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6762,5663 By Matching Biggest Common Factor Method

Greatest Common Factor of 6762,5663 By Matching Biggest Common Factor Method

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Factors of 5663

List of positive integer factors of 5663 that divides 5663 without a remainder.

1,7,809,5663

Greatest Common Factor

We found the factors 6762,5663 . The biggest common factor number is the GCF number.
So the greatest common factor 6762,5663 is 7.

Lets's calculate LCM of 534,1242

2 534, 1242
3 267, 621
89, 207

∴ So the LCM of the given numbers is 2 x 3 x 89 x 207 = 110538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/110538

Therefore, the GCF of Fractions 6762/534,5663/1242 is 7/110538

Least Common Multiple of 534,1242 with GCF Formula

Least Common Multiple of 534,1242 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 534,1242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,1242) = 6

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

GCF(534,1242) x common factors =6 x 1 = 6

LCM(534,1242) = ( 534 × 1242 ) / 6

LCM(534,1242) = 663228 / 6

LCM(534,1242) = 110538


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 6762/534, 5663/1242

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 6762/534, 5663/1242?

Answer: GCF of Numerators as per given numbers 6762/534, 5663/1242 is

GCF of Numerators i.e. for 6762,5663 is 7

LCM of denominators i.e. for 534,1242 is 110538.

Thus, GCF of Fractions is 7/110538.Finally, GCF of Fractions for 6762/534, 5663/1242 is 7/110538.