Greatest Common Factor of 5754/52, 8304/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5754/52, 8304/937

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 5754/52,8304/937

Given fractions are 5754/52,8304/937

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 5754,8304

Greatest Common Factor of Numerators i.e. GCF of 5754,8304 is 6 .

LCM of Denominators means LCM of 52,937 as per the given fractions.

LCM of 52,937 is 48724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5754,8304

GCF of Fractions 5754/52,8304/937 is 6/48724

2 5754, 8304
3 2877, 4152
959, 1384

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5754,8304 By Matching Biggest Common Factor Method

Greatest Common Factor of 5754,8304 By Matching Biggest Common Factor Method

Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Greatest Common Factor

We found the factors 5754,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 5754,8304 is 6.

Lets's calculate LCM of 52,937

Given numbers has no common factors except 1. So, there LCM is their product i.e 48724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/48724

Therefore, the GCF of Fractions 5754/52,8304/937 is 6/48724

Least Common Multiple of 52,937 with GCF Formula

Least Common Multiple of 52,937 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 52,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,937) = 1

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

GCF(52,937) x common factors =1 x 1 = 1

LCM(52,937) = ( 52 × 937 ) / 1

LCM(52,937) = 48724 / 1

LCM(52,937) = 48724


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 5754/52, 8304/937

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 5754/52, 8304/937?

Answer: GCF of Numerators as per given numbers 5754/52, 8304/937 is

GCF of Numerators i.e. for 5754,8304 is 6

LCM of denominators i.e. for 52,937 is 48724.

Thus, GCF of Fractions is 6/48724.Finally, GCF of Fractions for 5754/52, 8304/937 is 6/48724.