Greatest Common Factor of 654/362, 1167/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/362, 1167/626

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 654/362,1167/626

Given fractions are 654/362,1167/626

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 654,1167

Greatest Common Factor of Numerators i.e. GCF of 654,1167 is 3 .

LCM of Denominators means LCM of 362,626 as per the given fractions.

LCM of 362,626 is 113306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,1167

GCF of Fractions 654/362,1167/626 is 3/113306

3 654, 1167
218, 389

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

Greatest Common Factor of 654,1167 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,1167 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 1167

List of positive integer factors of 1167 that divides 1167 without a remainder.

1,3,389,1167

Greatest Common Factor

We found the factors 654,1167 . The biggest common factor number is the GCF number.
So the greatest common factor 654,1167 is 3.

Lets's calculate LCM of 362,626

2 362, 626
181, 313

∴ So the LCM of the given numbers is 2 x 181 x 313 = 113306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113306

Therefore, the GCF of Fractions 654/362,1167/626 is 3/113306

Least Common Multiple of 362,626 with GCF Formula

Least Common Multiple of 362,626 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 362,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,626) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(362,626) x common factors =2 x 1 = 2

LCM(362,626) = ( 362 × 626 ) / 2

LCM(362,626) = 226612 / 2

LCM(362,626) = 113306


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 654/362, 1167/626

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 654/362, 1167/626?

Answer: GCF of Numerators as per given numbers 654/362, 1167/626 is

GCF of Numerators i.e. for 654,1167 is 3

LCM of denominators i.e. for 362,626 is 113306.

Thus, GCF of Fractions is 3/113306.Finally, GCF of Fractions for 654/362, 1167/626 is 3/113306.