Greatest Common Factor of 537/938, 5567/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 537/938, 5567/756

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 537/938,5567/756

Given fractions are 537/938,5567/756

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 537,5567

Greatest Common Factor of Numerators i.e. GCF of 537,5567 is 1 .

LCM of Denominators means LCM of 938,756 as per the given fractions.

LCM of 938,756 is 50652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 537,5567

GCF of Fractions 537/938,5567/756 is 1/50652

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

Greatest Common Factor of 537,5567 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,5567 By Matching Biggest Common Factor Method

Factors of 537

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

1,3,179,537

Factors of 5567

List of positive integer factors of 5567 that divides 5567 without a remainder.

1,19,293,5567

Greatest Common Factor

We found the factors 537,5567 . The biggest common factor number is the GCF number.
So the greatest common factor 537,5567 is 1.

Lets's calculate LCM of 938,756

2 938, 756
7 469, 378
67, 54

∴ So the LCM of the given numbers is 2 x 7 x 67 x 54 = 50652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50652

Therefore, the GCF of Fractions 537/938,5567/756 is 1/50652

Least Common Multiple of 938,756 with GCF Formula

Least Common Multiple of 938,756 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 938,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,756) = 14

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

GCF(938,756) x common factors =14 x 1 = 14

LCM(938,756) = ( 938 × 756 ) / 14

LCM(938,756) = 709128 / 14

LCM(938,756) = 50652


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 537/938, 5567/756

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 537/938, 5567/756?

Answer: GCF of Numerators as per given numbers 537/938, 5567/756 is

GCF of Numerators i.e. for 537,5567 is 1

LCM of denominators i.e. for 938,756 is 50652.

Thus, GCF of Fractions is 1/50652.Finally, GCF of Fractions for 537/938, 5567/756 is 1/50652.