Greatest Common Factor of 4552/20, 7131/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4552/20, 7131/252

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 4552/20,7131/252

Given fractions are 4552/20,7131/252

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 4552,7131

Greatest Common Factor of Numerators i.e. GCF of 4552,7131 is 1 .

LCM of Denominators means LCM of 20,252 as per the given fractions.

LCM of 20,252 is 1260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4552,7131

GCF of Fractions 4552/20,7131/252 is 1/1260

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4552,7131 By Matching Biggest Common Factor Method

Greatest Common Factor of 4552,7131 By Matching Biggest Common Factor Method

Factors of 4552

List of positive integer factors of 4552 that divides 4552 without a remainder.

1,2,4,8,569,1138,2276,4552

Factors of 7131

List of positive integer factors of 7131 that divides 7131 without a remainder.

1,3,2377,7131

Greatest Common Factor

We found the factors 4552,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 4552,7131 is 1.

Lets's calculate LCM of 20,252

2 20, 252
2 10, 126
5, 63

∴ So the LCM of the given numbers is 2 x 2 x 5 x 63 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260

Therefore, the GCF of Fractions 4552/20,7131/252 is 1/1260

Least Common Multiple of 20,252 with GCF Formula

Least Common Multiple of 20,252 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 20,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,252) = 4

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

GCF(20,252) x common factors =4 x 1 = 4

LCM(20,252) = ( 20 × 252 ) / 4

LCM(20,252) = 5040 / 4

LCM(20,252) = 1260


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 4552/20, 7131/252

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 4552/20, 7131/252?

Answer: GCF of Numerators as per given numbers 4552/20, 7131/252 is

GCF of Numerators i.e. for 4552,7131 is 1

LCM of denominators i.e. for 20,252 is 1260.

Thus, GCF of Fractions is 1/1260.Finally, GCF of Fractions for 4552/20, 7131/252 is 1/1260.