Greatest Common Factor of 150/13, 7122/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/13, 7122/497

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 150/13,7122/497

Given fractions are 150/13,7122/497

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 150,7122

Greatest Common Factor of Numerators i.e. GCF of 150,7122 is 6 .

LCM of Denominators means LCM of 13,497 as per the given fractions.

LCM of 13,497 is 6461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,7122

GCF of Fractions 150/13,7122/497 is 6/6461

2 150, 7122
3 75, 3561
25, 1187

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

Greatest Common Factor of 150,7122 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,7122 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 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1,2,3,6,1187,2374,3561,7122

Greatest Common Factor

We found the factors 150,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 150,7122 is 6.

Lets's calculate LCM of 13,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 6461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6461

Therefore, the GCF of Fractions 150/13,7122/497 is 6/6461

Least Common Multiple of 13,497 with GCF Formula

Least Common Multiple of 13,497 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 13,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,497) = 1

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

GCF(13,497) x common factors =1 x 1 = 1

LCM(13,497) = ( 13 × 497 ) / 1

LCM(13,497) = 6461 / 1

LCM(13,497) = 6461


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 150/13, 7122/497

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 150/13, 7122/497?

Answer: GCF of Numerators as per given numbers 150/13, 7122/497 is

GCF of Numerators i.e. for 150,7122 is 6

LCM of denominators i.e. for 13,497 is 6461.

Thus, GCF of Fractions is 6/6461.Finally, GCF of Fractions for 150/13, 7122/497 is 6/6461.