Greatest Common Factor of 57/368, 428/536, 987/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/368, 428/536, 987/998

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 57/368,428/536,987/998

Given fractions are 57/368,428/536,987/998

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 57,428,987

Greatest Common Factor of Numerators i.e. GCF of 57,428,987 is 1 .

LCM of Denominators means LCM of 368,536,998 as per the given fractions.

LCM of 368,536,998 is 12303344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,428,987

GCF of Fractions 57/368,428/536,987/998 is 1/12303344

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

Greatest Common Factor of 57,428,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,428,987 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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 57,428,987 . The biggest common factor number is the GCF number.
So the greatest common factor 57,428,987 is 1.

Lets's calculate LCM of 368,536,998

2 368, 536, 998
2 184, 268, 499
2 92, 134, 499
46, 67, 499

∴ So the LCM of the given numbers is 2 x 2 x 2 x 46 x 67 x 499 = 12303344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12303344

Therefore, the GCF of Fractions 57/368,428/536,987/998 is 1/12303344

Least Common Multiple of 368,536,998 with GCF Formula

Least Common Multiple of 368,536,998 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 368,536,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,536,998) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(368,536,998) x common factors =2 x 8 = 16

LCM(368,536,998) = ( 368 × 536 × 998 ) / 16

LCM(368,536,998) = 196853504 / 16

LCM(368,536,998) = 12303344


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 57/368, 428/536, 987/998

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 57/368, 428/536, 987/998?

Answer: GCF of Numerators as per given numbers 57/368, 428/536, 987/998 is

GCF of Numerators i.e. for 57,428,987 is 1

LCM of denominators i.e. for 368,536,998 is 12303344.

Thus, GCF of Fractions is 1/12303344.Finally, GCF of Fractions for 57/368, 428/536, 987/998 is 1/12303344.