Greatest Common Factor of 571/76, 529/24, 157/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 571/76, 529/24, 157/79

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 571/76,529/24,157/79

Given fractions are 571/76,529/24,157/79

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 571,529,157

Greatest Common Factor of Numerators i.e. GCF of 571,529,157 is 1 .

LCM of Denominators means LCM of 76,24,79 as per the given fractions.

LCM of 76,24,79 is 36024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 571,529,157

GCF of Fractions 571/76,529/24,157/79 is 1/36024

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

Greatest Common Factor of 571,529,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,529,157 By Matching Biggest Common Factor Method

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

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 571,529,157 . The biggest common factor number is the GCF number.
So the greatest common factor 571,529,157 is 1.

Lets's calculate LCM of 76,24,79

2 76, 24, 79
2 38, 12, 79
19, 6, 79

∴ So the LCM of the given numbers is 2 x 2 x 19 x 6 x 79 = 36024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36024

Therefore, the GCF of Fractions 571/76,529/24,157/79 is 1/36024

Least Common Multiple of 76,24,79 with GCF Formula

Least Common Multiple of 76,24,79 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 76,24,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,24,79) = 1

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

GCF(76,24,79) x common factors =1 x 4 = 4

LCM(76,24,79) = ( 76 × 24 × 79 ) / 4

LCM(76,24,79) = 144096 / 4

LCM(76,24,79) = 36024


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 571/76, 529/24, 157/79

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 571/76, 529/24, 157/79?

Answer: GCF of Numerators as per given numbers 571/76, 529/24, 157/79 is

GCF of Numerators i.e. for 571,529,157 is 1

LCM of denominators i.e. for 76,24,79 is 36024.

Thus, GCF of Fractions is 1/36024.Finally, GCF of Fractions for 571/76, 529/24, 157/79 is 1/36024.