Greatest Common Factor of 297/988, 557/457, 522/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/988, 557/457, 522/855

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 297/988,557/457,522/855

Given fractions are 297/988,557/457,522/855

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 297,557,522

Greatest Common Factor of Numerators i.e. GCF of 297,557,522 is 1 .

LCM of Denominators means LCM of 988,457,855 as per the given fractions.

LCM of 988,457,855 is 20318220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,557,522

GCF of Fractions 297/988,557/457,522/855 is 1/20318220

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

Greatest Common Factor of 297,557,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,557,522 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 297,557,522 . The biggest common factor number is the GCF number.
So the greatest common factor 297,557,522 is 1.

Lets's calculate LCM of 988,457,855

19 988, 457, 855
52, 457, 45

∴ So the LCM of the given numbers is 19 x 52 x 457 x 45 = 20318220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20318220

Therefore, the GCF of Fractions 297/988,557/457,522/855 is 1/20318220

Least Common Multiple of 988,457,855 with GCF Formula

Least Common Multiple of 988,457,855 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 988,457,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,457,855) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(988,457,855) x common factors =1 x 19 = 19

LCM(988,457,855) = ( 988 × 457 × 855 ) / 19

LCM(988,457,855) = 386046180 / 19

LCM(988,457,855) = 20318220


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 297/988, 557/457, 522/855

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 297/988, 557/457, 522/855?

Answer: GCF of Numerators as per given numbers 297/988, 557/457, 522/855 is

GCF of Numerators i.e. for 297,557,522 is 1

LCM of denominators i.e. for 988,457,855 is 20318220.

Thus, GCF of Fractions is 1/20318220.Finally, GCF of Fractions for 297/988, 557/457, 522/855 is 1/20318220.