Greatest Common Factor of 452/76, 256/7740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/76, 256/7740

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 452/76,256/7740

Given fractions are 452/76,256/7740

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 452,256

Greatest Common Factor of Numerators i.e. GCF of 452,256 is 4 .

LCM of Denominators means LCM of 76,7740 as per the given fractions.

LCM of 76,7740 is 147060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,256

GCF of Fractions 452/76,256/7740 is 4/147060

2 452, 256
2 226, 128
113, 64

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 452,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,256 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

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

Greatest Common Factor

We found the factors 452,256 . The biggest common factor number is the GCF number.
So the greatest common factor 452,256 is 4.

Lets's calculate LCM of 76,7740

2 76, 7740
2 38, 3870
19, 1935

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1935 = 147060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/147060

Therefore, the GCF of Fractions 452/76,256/7740 is 4/147060

Least Common Multiple of 76,7740 with GCF Formula

Least Common Multiple of 76,7740 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 76,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,7740) = 4

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

GCF(76,7740) x common factors =4 x 1 = 4

LCM(76,7740) = ( 76 × 7740 ) / 4

LCM(76,7740) = 588240 / 4

LCM(76,7740) = 147060


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 452/76, 256/7740

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 452/76, 256/7740?

Answer: GCF of Numerators as per given numbers 452/76, 256/7740 is

GCF of Numerators i.e. for 452,256 is 4

LCM of denominators i.e. for 76,7740 is 147060.

Thus, GCF of Fractions is 4/147060.Finally, GCF of Fractions for 452/76, 256/7740 is 4/147060.