Greatest Common Factor of 364/22, 476/95, 872/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/22, 476/95, 872/531

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 364/22,476/95,872/531

Given fractions are 364/22,476/95,872/531

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 364,476,872

Greatest Common Factor of Numerators i.e. GCF of 364,476,872 is 4 .

LCM of Denominators means LCM of 22,95,531 as per the given fractions.

LCM of 22,95,531 is 1109790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,476,872

GCF of Fractions 364/22,476/95,872/531 is 4/1109790

2 364, 476, 872
2 182, 238, 436
91, 119, 218

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 364,476,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,476,872 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 364,476,872 . The biggest common factor number is the GCF number.
So the greatest common factor 364,476,872 is 4.

Lets's calculate LCM of 22,95,531

Given numbers has no common factors except 1. So, there LCM is their product i.e 1109790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1109790

Therefore, the GCF of Fractions 364/22,476/95,872/531 is 4/1109790

Least Common Multiple of 22,95,531 with GCF Formula

Least Common Multiple of 22,95,531 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 22,95,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,95,531) = 1

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

GCF(22,95,531) x common factors =1 x 1 = 1

LCM(22,95,531) = ( 22 × 95 × 531 ) / 1

LCM(22,95,531) = 1109790 / 1

LCM(22,95,531) = 1109790


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 364/22, 476/95, 872/531

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 364/22, 476/95, 872/531?

Answer: GCF of Numerators as per given numbers 364/22, 476/95, 872/531 is

GCF of Numerators i.e. for 364,476,872 is 4

LCM of denominators i.e. for 22,95,531 is 1109790.

Thus, GCF of Fractions is 4/1109790.Finally, GCF of Fractions for 364/22, 476/95, 872/531 is 4/1109790.