Greatest Common Factor of 648/138, 391/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/138, 391/418

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 648/138,391/418

Given fractions are 648/138,391/418

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 648,391

Greatest Common Factor of Numerators i.e. GCF of 648,391 is 1 .

LCM of Denominators means LCM of 138,418 as per the given fractions.

LCM of 138,418 is 28842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,391

GCF of Fractions 648/138,391/418 is 1/28842

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

Greatest Common Factor of 648,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,391 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 648,391 . The biggest common factor number is the GCF number.
So the greatest common factor 648,391 is 1.

Lets's calculate LCM of 138,418

2 138, 418
69, 209

∴ So the LCM of the given numbers is 2 x 69 x 209 = 28842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28842

Therefore, the GCF of Fractions 648/138,391/418 is 1/28842

Least Common Multiple of 138,418 with GCF Formula

Least Common Multiple of 138,418 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 138,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,418) = 2

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

GCF(138,418) x common factors =2 x 1 = 2

LCM(138,418) = ( 138 × 418 ) / 2

LCM(138,418) = 57684 / 2

LCM(138,418) = 28842


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 648/138, 391/418

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 648/138, 391/418?

Answer: GCF of Numerators as per given numbers 648/138, 391/418 is

GCF of Numerators i.e. for 648,391 is 1

LCM of denominators i.e. for 138,418 is 28842.

Thus, GCF of Fractions is 1/28842.Finally, GCF of Fractions for 648/138, 391/418 is 1/28842.