Greatest Common Factor of 5714/540, 7626/7141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5714/540, 7626/7141

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 5714/540,7626/7141

Given fractions are 5714/540,7626/7141

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 5714,7626

Greatest Common Factor of Numerators i.e. GCF of 5714,7626 is 2 .

LCM of Denominators means LCM of 540,7141 as per the given fractions.

LCM of 540,7141 is 3856140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5714,7626

GCF of Fractions 5714/540,7626/7141 is 2/3856140

2 5714, 7626
2857, 3813

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

Greatest Common Factor of 5714,7626 By Matching Biggest Common Factor Method

Greatest Common Factor of 5714,7626 By Matching Biggest Common Factor Method

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1,2,2857,5714

Factors of 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626

Greatest Common Factor

We found the factors 5714,7626 . The biggest common factor number is the GCF number.
So the greatest common factor 5714,7626 is 2.

Lets's calculate LCM of 540,7141

Given numbers has no common factors except 1. So, there LCM is their product i.e 3856140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3856140

Therefore, the GCF of Fractions 5714/540,7626/7141 is 2/3856140

Least Common Multiple of 540,7141 with GCF Formula

Least Common Multiple of 540,7141 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 540,7141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,7141) = 1

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

GCF(540,7141) x common factors =1 x 1 = 1

LCM(540,7141) = ( 540 × 7141 ) / 1

LCM(540,7141) = 3856140 / 1

LCM(540,7141) = 3856140


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 5714/540, 7626/7141

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 5714/540, 7626/7141?

Answer: GCF of Numerators as per given numbers 5714/540, 7626/7141 is

GCF of Numerators i.e. for 5714,7626 is 2

LCM of denominators i.e. for 540,7141 is 3856140.

Thus, GCF of Fractions is 2/3856140.Finally, GCF of Fractions for 5714/540, 7626/7141 is 2/3856140.