Greatest Common Factor of 138/95, 885/21, 514/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 138/95, 885/21, 514/651

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 138/95,885/21,514/651

Given fractions are 138/95,885/21,514/651

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 138,885,514

Greatest Common Factor of Numerators i.e. GCF of 138,885,514 is 1 .

LCM of Denominators means LCM of 95,21,651 as per the given fractions.

LCM of 95,21,651 is 61845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,885,514

GCF of Fractions 138/95,885/21,514/651 is 1/61845

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

Greatest Common Factor of 138,885,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,885,514 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 138,885,514 . The biggest common factor number is the GCF number.
So the greatest common factor 138,885,514 is 1.


Lets's calculate LCM of 95,21,651

3 95, 21, 651
7 95, 7, 217
95, 1, 31

∴ So the LCM of the given numbers is 3 x 7 x 95 x 1 x 31 = 61845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61845

Therefore, the GCF of Fractions 138/95,885/21,514/651 is 1/61845

Least Common Multiple of 95,21,651 with GCF Formula

Least Common Multiple of 95,21,651 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 95,21,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,21,651) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(95,21,651) x common factors =1 x 21 = 21

LCM(95,21,651) = ( 95 × 21 × 651 ) / 21

LCM(95,21,651) = 1298745 / 21

LCM(95,21,651) = 61845


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 138/95, 885/21, 514/651

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 138/95, 885/21, 514/651?

Answer: GCF of Numerators as per given numbers 138/95, 885/21, 514/651 is

GCF of Numerators i.e. for 138,885,514 is 1

LCM of denominators i.e. for 95,21,651 is 61845.

Thus, GCF of Fractions is 1/61845.Finally, GCF of Fractions for 138/95, 885/21, 514/651 is 1/61845.