Greatest Common Factor of 7537/496, 2936/5344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7537/496, 2936/5344

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 7537/496,2936/5344

Given fractions are 7537/496,2936/5344

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 7537,2936

Greatest Common Factor of Numerators i.e. GCF of 7537,2936 is 1 .

LCM of Denominators means LCM of 496,5344 as per the given fractions.

LCM of 496,5344 is 165664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7537,2936

GCF of Fractions 7537/496,2936/5344 is 1/165664

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

Greatest Common Factor of 7537,2936 By Matching Biggest Common Factor Method

Greatest Common Factor of 7537,2936 By Matching Biggest Common Factor Method

Factors of 7537

List of positive integer factors of 7537 that divides 7537 without a remainder.

1,7537

Factors of 2936

List of positive integer factors of 2936 that divides 2936 without a remainder.

1,2,4,8,367,734,1468,2936

Greatest Common Factor

We found the factors 7537,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 7537,2936 is 1.

Lets's calculate LCM of 496,5344

2 496, 5344
2 248, 2672
2 124, 1336
2 62, 668
31, 334

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 334 = 165664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165664

Therefore, the GCF of Fractions 7537/496,2936/5344 is 1/165664

Least Common Multiple of 496,5344 with GCF Formula

Least Common Multiple of 496,5344 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 496,5344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,5344) = 16

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

GCF(496,5344) x common factors =16 x 1 = 16

LCM(496,5344) = ( 496 × 5344 ) / 16

LCM(496,5344) = 2650624 / 16

LCM(496,5344) = 165664


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 7537/496, 2936/5344

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 7537/496, 2936/5344?

Answer: GCF of Numerators as per given numbers 7537/496, 2936/5344 is

GCF of Numerators i.e. for 7537,2936 is 1

LCM of denominators i.e. for 496,5344 is 165664.

Thus, GCF of Fractions is 1/165664.Finally, GCF of Fractions for 7537/496, 2936/5344 is 1/165664.