Greatest Common Factor of 5707/22, 2521/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5707/22, 2521/438

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 5707/22,2521/438

Given fractions are 5707/22,2521/438

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 5707,2521

Greatest Common Factor of Numerators i.e. GCF of 5707,2521 is 1 .

LCM of Denominators means LCM of 22,438 as per the given fractions.

LCM of 22,438 is 4818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5707,2521

GCF of Fractions 5707/22,2521/438 is 1/4818

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

Greatest Common Factor of 5707,2521 By Matching Biggest Common Factor Method

Greatest Common Factor of 5707,2521 By Matching Biggest Common Factor Method

Factors of 5707

List of positive integer factors of 5707 that divides 5707 without a remainder.

1,13,439,5707

Factors of 2521

List of positive integer factors of 2521 that divides 2521 without a remainder.

1,2521

Greatest Common Factor

We found the factors 5707,2521 . The biggest common factor number is the GCF number.
So the greatest common factor 5707,2521 is 1.

Lets's calculate LCM of 22,438

2 22, 438
11, 219

∴ So the LCM of the given numbers is 2 x 11 x 219 = 4818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4818

Therefore, the GCF of Fractions 5707/22,2521/438 is 1/4818

Least Common Multiple of 22,438 with GCF Formula

Least Common Multiple of 22,438 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 22,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,438) = 2

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

GCF(22,438) x common factors =2 x 1 = 2

LCM(22,438) = ( 22 × 438 ) / 2

LCM(22,438) = 9636 / 2

LCM(22,438) = 4818


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 5707/22, 2521/438

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 5707/22, 2521/438?

Answer: GCF of Numerators as per given numbers 5707/22, 2521/438 is

GCF of Numerators i.e. for 5707,2521 is 1

LCM of denominators i.e. for 22,438 is 4818.

Thus, GCF of Fractions is 1/4818.Finally, GCF of Fractions for 5707/22, 2521/438 is 1/4818.