Greatest Common Factor of 57/99, 214/11, 872/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/99, 214/11, 872/317

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 57/99,214/11,872/317

Given fractions are 57/99,214/11,872/317

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 57,214,872

Greatest Common Factor of Numerators i.e. GCF of 57,214,872 is 1 .

LCM of Denominators means LCM of 99,11,317 as per the given fractions.

LCM of 99,11,317 is 31383 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,214,872

GCF of Fractions 57/99,214/11,872/317 is 1/31383

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

Greatest Common Factor of 57,214,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,214,872 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

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 57,214,872 . The biggest common factor number is the GCF number.
So the greatest common factor 57,214,872 is 1.

Lets's calculate LCM of 99,11,317

11 99, 11, 317
9, 1, 317

∴ So the LCM of the given numbers is 11 x 9 x 1 x 317 = 31383

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31383

Therefore, the GCF of Fractions 57/99,214/11,872/317 is 1/31383

Least Common Multiple of 99,11,317 with GCF Formula

Least Common Multiple of 99,11,317 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 99,11,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,11,317) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(99,11,317) x common factors =1 x 11 = 11

LCM(99,11,317) = ( 99 × 11 × 317 ) / 11

LCM(99,11,317) = 345213 / 11

LCM(99,11,317) = 31383


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 57/99, 214/11, 872/317

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 57/99, 214/11, 872/317?

Answer: GCF of Numerators as per given numbers 57/99, 214/11, 872/317 is

GCF of Numerators i.e. for 57,214,872 is 1

LCM of denominators i.e. for 99,11,317 is 31383.

Thus, GCF of Fractions is 1/31383.Finally, GCF of Fractions for 57/99, 214/11, 872/317 is 1/31383.