Greatest Common Factor of 618/360, 657/241, 927/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/360, 657/241, 927/182

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 618/360,657/241,927/182

Given fractions are 618/360,657/241,927/182

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 618,657,927

Greatest Common Factor of Numerators i.e. GCF of 618,657,927 is 3 .

LCM of Denominators means LCM of 360,241,182 as per the given fractions.

LCM of 360,241,182 is 7895160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,657,927

GCF of Fractions 618/360,657/241,927/182 is 3/7895160

3 618, 657, 927
206, 219, 309

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 618,657,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,657,927 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 618,657,927 . The biggest common factor number is the GCF number.
So the greatest common factor 618,657,927 is 3.

Lets's calculate LCM of 360,241,182

2 360, 241, 182
180, 241, 91

∴ So the LCM of the given numbers is 2 x 180 x 241 x 91 = 7895160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7895160

Therefore, the GCF of Fractions 618/360,657/241,927/182 is 3/7895160

Least Common Multiple of 360,241,182 with GCF Formula

Least Common Multiple of 360,241,182 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 360,241,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,241,182) = 1

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

GCF(360,241,182) x common factors =1 x 2 = 2

LCM(360,241,182) = ( 360 × 241 × 182 ) / 2

LCM(360,241,182) = 15790320 / 2

LCM(360,241,182) = 7895160


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 618/360, 657/241, 927/182

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 618/360, 657/241, 927/182?

Answer: GCF of Numerators as per given numbers 618/360, 657/241, 927/182 is

GCF of Numerators i.e. for 618,657,927 is 3

LCM of denominators i.e. for 360,241,182 is 7895160.

Thus, GCF of Fractions is 3/7895160.Finally, GCF of Fractions for 618/360, 657/241, 927/182 is 3/7895160.