Greatest Common Factor of 868/52, 537/2342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/52, 537/2342

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 868/52,537/2342

Given fractions are 868/52,537/2342

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 868,537

Greatest Common Factor of Numerators i.e. GCF of 868,537 is 1 .

LCM of Denominators means LCM of 52,2342 as per the given fractions.

LCM of 52,2342 is 60892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,537

GCF of Fractions 868/52,537/2342 is 1/60892

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

Greatest Common Factor of 868,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,537 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 868,537 . The biggest common factor number is the GCF number.
So the greatest common factor 868,537 is 1.

Lets's calculate LCM of 52,2342

2 52, 2342
26, 1171

∴ So the LCM of the given numbers is 2 x 26 x 1171 = 60892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60892

Therefore, the GCF of Fractions 868/52,537/2342 is 1/60892

Least Common Multiple of 52,2342 with GCF Formula

Least Common Multiple of 52,2342 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 52,2342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,2342) = 2

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

GCF(52,2342) x common factors =2 x 1 = 2

LCM(52,2342) = ( 52 × 2342 ) / 2

LCM(52,2342) = 121784 / 2

LCM(52,2342) = 60892


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 868/52, 537/2342

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 868/52, 537/2342?

Answer: GCF of Numerators as per given numbers 868/52, 537/2342 is

GCF of Numerators i.e. for 868,537 is 1

LCM of denominators i.e. for 52,2342 is 60892.

Thus, GCF of Fractions is 1/60892.Finally, GCF of Fractions for 868/52, 537/2342 is 1/60892.