Greatest Common Factor of 5252/89, 5242/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5252/89, 5242/371

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 5252/89,5242/371

Given fractions are 5252/89,5242/371

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 5252,5242

Greatest Common Factor of Numerators i.e. GCF of 5252,5242 is 2 .

LCM of Denominators means LCM of 89,371 as per the given fractions.

LCM of 89,371 is 33019 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5252,5242

GCF of Fractions 5252/89,5242/371 is 2/33019

2 5252, 5242
2626, 2621

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

Greatest Common Factor of 5252,5242 By Matching Biggest Common Factor Method

Greatest Common Factor of 5252,5242 By Matching Biggest Common Factor Method

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1,2,4,13,26,52,101,202,404,1313,2626,5252

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1,2,2621,5242

Greatest Common Factor

We found the factors 5252,5242 . The biggest common factor number is the GCF number.
So the greatest common factor 5252,5242 is 2.

Lets's calculate LCM of 89,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 33019

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33019

Therefore, the GCF of Fractions 5252/89,5242/371 is 2/33019

Least Common Multiple of 89,371 with GCF Formula

Least Common Multiple of 89,371 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 89,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,371) = 1

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

GCF(89,371) x common factors =1 x 1 = 1

LCM(89,371) = ( 89 × 371 ) / 1

LCM(89,371) = 33019 / 1

LCM(89,371) = 33019


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 5252/89, 5242/371

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 5252/89, 5242/371?

Answer: GCF of Numerators as per given numbers 5252/89, 5242/371 is

GCF of Numerators i.e. for 5252,5242 is 2

LCM of denominators i.e. for 89,371 is 33019.

Thus, GCF of Fractions is 2/33019.Finally, GCF of Fractions for 5252/89, 5242/371 is 2/33019.