Greatest Common Factor of 7296/49, 5702/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7296/49, 5702/537

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 7296/49,5702/537

Given fractions are 7296/49,5702/537

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 7296,5702

Greatest Common Factor of Numerators i.e. GCF of 7296,5702 is 2 .

LCM of Denominators means LCM of 49,537 as per the given fractions.

LCM of 49,537 is 26313 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7296,5702

GCF of Fractions 7296/49,5702/537 is 2/26313

2 7296, 5702
3648, 2851

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

Greatest Common Factor of 7296,5702 By Matching Biggest Common Factor Method

Greatest Common Factor of 7296,5702 By Matching Biggest Common Factor Method

Factors of 7296

List of positive integer factors of 7296 that divides 7296 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1,2,2851,5702

Greatest Common Factor

We found the factors 7296,5702 . The biggest common factor number is the GCF number.
So the greatest common factor 7296,5702 is 2.

Lets's calculate LCM of 49,537

Given numbers has no common factors except 1. So, there LCM is their product i.e 26313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26313

Therefore, the GCF of Fractions 7296/49,5702/537 is 2/26313

Least Common Multiple of 49,537 with GCF Formula

Least Common Multiple of 49,537 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 49,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,537) = 1

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

GCF(49,537) x common factors =1 x 1 = 1

LCM(49,537) = ( 49 × 537 ) / 1

LCM(49,537) = 26313 / 1

LCM(49,537) = 26313


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 7296/49, 5702/537

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 7296/49, 5702/537?

Answer: GCF of Numerators as per given numbers 7296/49, 5702/537 is

GCF of Numerators i.e. for 7296,5702 is 2

LCM of denominators i.e. for 49,537 is 26313.

Thus, GCF of Fractions is 2/26313.Finally, GCF of Fractions for 7296/49, 5702/537 is 2/26313.