Greatest Common Factor of 150/472, 6756/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/472, 6756/412

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 150/472,6756/412

Given fractions are 150/472,6756/412

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 150,6756

Greatest Common Factor of Numerators i.e. GCF of 150,6756 is 6 .

LCM of Denominators means LCM of 472,412 as per the given fractions.

LCM of 472,412 is 48616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,6756

GCF of Fractions 150/472,6756/412 is 6/48616

2 150, 6756
3 75, 3378
25, 1126

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 150,6756 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,6756 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 6756

List of positive integer factors of 6756 that divides 6756 without a remainder.

1,2,3,4,6,12,563,1126,1689,2252,3378,6756

Greatest Common Factor

We found the factors 150,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 150,6756 is 6.

Lets's calculate LCM of 472,412

2 472, 412
2 236, 206
118, 103

∴ So the LCM of the given numbers is 2 x 2 x 118 x 103 = 48616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/48616

Therefore, the GCF of Fractions 150/472,6756/412 is 6/48616

Least Common Multiple of 472,412 with GCF Formula

Least Common Multiple of 472,412 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 472,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,412) = 4

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

GCF(472,412) x common factors =4 x 1 = 4

LCM(472,412) = ( 472 × 412 ) / 4

LCM(472,412) = 194464 / 4

LCM(472,412) = 48616


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 150/472, 6756/412

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 150/472, 6756/412?

Answer: GCF of Numerators as per given numbers 150/472, 6756/412 is

GCF of Numerators i.e. for 150,6756 is 6

LCM of denominators i.e. for 472,412 is 48616.

Thus, GCF of Fractions is 6/48616.Finally, GCF of Fractions for 150/472, 6756/412 is 6/48616.