Greatest Common Factor of 7542/682, 5644/7308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7542/682, 5644/7308

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 7542/682,5644/7308

Given fractions are 7542/682,5644/7308

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 7542,5644

Greatest Common Factor of Numerators i.e. GCF of 7542,5644 is 2 .

LCM of Denominators means LCM of 682,7308 as per the given fractions.

LCM of 682,7308 is 2492028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7542,5644

GCF of Fractions 7542/682,5644/7308 is 2/2492028

2 7542, 5644
3771, 2822

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

Greatest Common Factor of 7542,5644 By Matching Biggest Common Factor Method

Greatest Common Factor of 7542,5644 By Matching Biggest Common Factor Method

Factors of 7542

List of positive integer factors of 7542 that divides 7542 without a remainder.

1,2,3,6,9,18,419,838,1257,2514,3771,7542

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Greatest Common Factor

We found the factors 7542,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 7542,5644 is 2.

Lets's calculate LCM of 682,7308

2 682, 7308
341, 3654

∴ So the LCM of the given numbers is 2 x 341 x 3654 = 2492028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2492028

Therefore, the GCF of Fractions 7542/682,5644/7308 is 2/2492028

Least Common Multiple of 682,7308 with GCF Formula

Least Common Multiple of 682,7308 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 682,7308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,7308) = 2

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

GCF(682,7308) x common factors =2 x 1 = 2

LCM(682,7308) = ( 682 × 7308 ) / 2

LCM(682,7308) = 4984056 / 2

LCM(682,7308) = 2492028


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 7542/682, 5644/7308

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 7542/682, 5644/7308?

Answer: GCF of Numerators as per given numbers 7542/682, 5644/7308 is

GCF of Numerators i.e. for 7542,5644 is 2

LCM of denominators i.e. for 682,7308 is 2492028.

Thus, GCF of Fractions is 2/2492028.Finally, GCF of Fractions for 7542/682, 5644/7308 is 2/2492028.