Greatest Common Factor of 51/36, 26/12, 151/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/36, 26/12, 151/612

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 51/36,26/12,151/612

Given fractions are 51/36,26/12,151/612

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 51,26,151

Greatest Common Factor of Numerators i.e. GCF of 51,26,151 is 1 .

LCM of Denominators means LCM of 36,12,612 as per the given fractions.

LCM of 36,12,612 is 612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,26,151

GCF of Fractions 51/36,26/12,151/612 is 1/612

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

Greatest Common Factor of 51,26,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,26,151 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 51,26,151 . The biggest common factor number is the GCF number.
So the greatest common factor 51,26,151 is 1.

Lets's calculate LCM of 36,12,612

2 36, 12, 612
2 18, 6, 306
3 9, 3, 153
3 1, 3, 51
1, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 17 = 612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612

Therefore, the GCF of Fractions 51/36,26/12,151/612 is 1/612

Least Common Multiple of 36,12,612 with GCF Formula

Least Common Multiple of 36,12,612 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 36,12,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,12,612) = 12

common factors(in case of two or more numbers have common factors) = 36

GCF(36,12,612) x common factors =12 x 36 = 432

LCM(36,12,612) = ( 36 × 12 × 612 ) / 432

LCM(36,12,612) = 264384 / 432

LCM(36,12,612) = 612


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 51/36, 26/12, 151/612

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 51/36, 26/12, 151/612?

Answer: GCF of Numerators as per given numbers 51/36, 26/12, 151/612 is

GCF of Numerators i.e. for 51,26,151 is 1

LCM of denominators i.e. for 36,12,612 is 612.

Thus, GCF of Fractions is 1/612.Finally, GCF of Fractions for 51/36, 26/12, 151/612 is 1/612.