Greatest Common Factor of 53/40, 184/32, 338/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/40, 184/32, 338/748

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 53/40,184/32,338/748

Given fractions are 53/40,184/32,338/748

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 53,184,338

Greatest Common Factor of Numerators i.e. GCF of 53,184,338 is 1 .

LCM of Denominators means LCM of 40,32,748 as per the given fractions.

LCM of 40,32,748 is 29920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,184,338

GCF of Fractions 53/40,184/32,338/748 is 1/29920

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

Greatest Common Factor of 53,184,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,184,338 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 53,184,338 . The biggest common factor number is the GCF number.
So the greatest common factor 53,184,338 is 1.

Lets's calculate LCM of 40,32,748

2 40, 32, 748
2 20, 16, 374
2 10, 8, 187
5, 4, 187

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 4 x 187 = 29920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29920

Therefore, the GCF of Fractions 53/40,184/32,338/748 is 1/29920

Least Common Multiple of 40,32,748 with GCF Formula

Least Common Multiple of 40,32,748 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 40,32,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,32,748) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(40,32,748) x common factors =4 x 8 = 32

LCM(40,32,748) = ( 40 × 32 × 748 ) / 32

LCM(40,32,748) = 957440 / 32

LCM(40,32,748) = 29920


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 53/40, 184/32, 338/748

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 53/40, 184/32, 338/748?

Answer: GCF of Numerators as per given numbers 53/40, 184/32, 338/748 is

GCF of Numerators i.e. for 53,184,338 is 1

LCM of denominators i.e. for 40,32,748 is 29920.

Thus, GCF of Fractions is 1/29920.Finally, GCF of Fractions for 53/40, 184/32, 338/748 is 1/29920.