Greatest Common Factor of 153/40, 512/7264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 153/40, 512/7264

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 153/40,512/7264

Given fractions are 153/40,512/7264

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 153,512

Greatest Common Factor of Numerators i.e. GCF of 153,512 is 1 .

LCM of Denominators means LCM of 40,7264 as per the given fractions.

LCM of 40,7264 is 36320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 153,512

GCF of Fractions 153/40,512/7264 is 1/36320

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

Greatest Common Factor of 153,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,512 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 153,512 . The biggest common factor number is the GCF number.
So the greatest common factor 153,512 is 1.

Lets's calculate LCM of 40,7264

2 40, 7264
2 20, 3632
2 10, 1816
5, 908

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 908 = 36320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36320

Therefore, the GCF of Fractions 153/40,512/7264 is 1/36320

Least Common Multiple of 40,7264 with GCF Formula

Least Common Multiple of 40,7264 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 40,7264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,7264) = 8

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

GCF(40,7264) x common factors =8 x 1 = 8

LCM(40,7264) = ( 40 × 7264 ) / 8

LCM(40,7264) = 290560 / 8

LCM(40,7264) = 36320


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 153/40, 512/7264

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 153/40, 512/7264?

Answer: GCF of Numerators as per given numbers 153/40, 512/7264 is

GCF of Numerators i.e. for 153,512 is 1

LCM of denominators i.e. for 40,7264 is 36320.

Thus, GCF of Fractions is 1/36320.Finally, GCF of Fractions for 153/40, 512/7264 is 1/36320.