Greatest Common Factor of 57/54, 12/44, 287/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/54, 12/44, 287/862

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 57/54,12/44,287/862

Given fractions are 57/54,12/44,287/862

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 57,12,287

Greatest Common Factor of Numerators i.e. GCF of 57,12,287 is 1 .

LCM of Denominators means LCM of 54,44,862 as per the given fractions.

LCM of 54,44,862 is 512028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,12,287

GCF of Fractions 57/54,12/44,287/862 is 1/512028

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

Greatest Common Factor of 57,12,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,12,287 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 57,12,287 . The biggest common factor number is the GCF number.
So the greatest common factor 57,12,287 is 1.

Lets's calculate LCM of 54,44,862

2 54, 44, 862
27, 22, 431

∴ So the LCM of the given numbers is 2 x 27 x 22 x 431 = 512028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512028

Therefore, the GCF of Fractions 57/54,12/44,287/862 is 1/512028

Least Common Multiple of 54,44,862 with GCF Formula

Least Common Multiple of 54,44,862 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 54,44,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,44,862) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(54,44,862) x common factors =2 x 2 = 4

LCM(54,44,862) = ( 54 × 44 × 862 ) / 4

LCM(54,44,862) = 2048112 / 4

LCM(54,44,862) = 512028


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 57/54, 12/44, 287/862

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 57/54, 12/44, 287/862?

Answer: GCF of Numerators as per given numbers 57/54, 12/44, 287/862 is

GCF of Numerators i.e. for 57,12,287 is 1

LCM of denominators i.e. for 54,44,862 is 512028.

Thus, GCF of Fractions is 1/512028.Finally, GCF of Fractions for 57/54, 12/44, 287/862 is 1/512028.