Greatest Common Factor of 18/297, 374/559, 132/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/297, 374/559, 132/147

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 18/297,374/559,132/147

Given fractions are 18/297,374/559,132/147

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 18,374,132

Greatest Common Factor of Numerators i.e. GCF of 18,374,132 is 2 .

LCM of Denominators means LCM of 297,559,147 as per the given fractions.

LCM of 297,559,147 is 8135127 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,374,132

GCF of Fractions 18/297,374/559,132/147 is 2/8135127

2 18, 374, 132
9, 187, 66

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

Greatest Common Factor of 18,374,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,374,132 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 18,374,132 . The biggest common factor number is the GCF number.
So the greatest common factor 18,374,132 is 2.

Lets's calculate LCM of 297,559,147

3 297, 559, 147
99, 559, 49

∴ So the LCM of the given numbers is 3 x 99 x 559 x 49 = 8135127

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8135127

Therefore, the GCF of Fractions 18/297,374/559,132/147 is 2/8135127

Least Common Multiple of 297,559,147 with GCF Formula

Least Common Multiple of 297,559,147 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 297,559,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,559,147) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(297,559,147) x common factors =1 x 3 = 3

LCM(297,559,147) = ( 297 × 559 × 147 ) / 3

LCM(297,559,147) = 24405381 / 3

LCM(297,559,147) = 8135127


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 18/297, 374/559, 132/147

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 18/297, 374/559, 132/147?

Answer: GCF of Numerators as per given numbers 18/297, 374/559, 132/147 is

GCF of Numerators i.e. for 18,374,132 is 2

LCM of denominators i.e. for 297,559,147 is 8135127.

Thus, GCF of Fractions is 2/8135127.Finally, GCF of Fractions for 18/297, 374/559, 132/147 is 2/8135127.