Greatest Common Factor of 32/512, 53/719, 157/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/512, 53/719, 157/316

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 32/512,53/719,157/316

Given fractions are 32/512,53/719,157/316

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 32,53,157

Greatest Common Factor of Numerators i.e. GCF of 32,53,157 is 1 .

LCM of Denominators means LCM of 512,719,316 as per the given fractions.

LCM of 512,719,316 is 29082112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,53,157

GCF of Fractions 32/512,53/719,157/316 is 1/29082112

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

Greatest Common Factor of 32,53,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,53,157 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 53

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

1,53

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 32,53,157 . The biggest common factor number is the GCF number.
So the greatest common factor 32,53,157 is 1.

Lets's calculate LCM of 512,719,316

2 512, 719, 316
2 256, 719, 158
128, 719, 79

∴ So the LCM of the given numbers is 2 x 2 x 128 x 719 x 79 = 29082112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29082112

Therefore, the GCF of Fractions 32/512,53/719,157/316 is 1/29082112

Least Common Multiple of 512,719,316 with GCF Formula

Least Common Multiple of 512,719,316 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 512,719,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,719,316) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(512,719,316) x common factors =1 x 4 = 4

LCM(512,719,316) = ( 512 × 719 × 316 ) / 4

LCM(512,719,316) = 116328448 / 4

LCM(512,719,316) = 29082112


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 32/512, 53/719, 157/316

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 32/512, 53/719, 157/316?

Answer: GCF of Numerators as per given numbers 32/512, 53/719, 157/316 is

GCF of Numerators i.e. for 32,53,157 is 1

LCM of denominators i.e. for 512,719,316 is 29082112.

Thus, GCF of Fractions is 1/29082112.Finally, GCF of Fractions for 32/512, 53/719, 157/316 is 1/29082112.