Greatest Common Factor of 7677/150, 9541/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7677/150, 9541/268

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 7677/150,9541/268

Given fractions are 7677/150,9541/268

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 7677,9541

Greatest Common Factor of Numerators i.e. GCF of 7677,9541 is 1 .

LCM of Denominators means LCM of 150,268 as per the given fractions.

LCM of 150,268 is 20100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7677,9541

GCF of Fractions 7677/150,9541/268 is 1/20100

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

Greatest Common Factor of 7677,9541 By Matching Biggest Common Factor Method

Greatest Common Factor of 7677,9541 By Matching Biggest Common Factor Method

Factors of 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1,3,9,853,2559,7677

Factors of 9541

List of positive integer factors of 9541 that divides 9541 without a remainder.

1,7,29,47,203,329,1363,9541

Greatest Common Factor

We found the factors 7677,9541 . The biggest common factor number is the GCF number.
So the greatest common factor 7677,9541 is 1.

Lets's calculate LCM of 150,268

2 150, 268
75, 134

∴ So the LCM of the given numbers is 2 x 75 x 134 = 20100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20100

Therefore, the GCF of Fractions 7677/150,9541/268 is 1/20100

Least Common Multiple of 150,268 with GCF Formula

Least Common Multiple of 150,268 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 150,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,268) = 2

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

GCF(150,268) x common factors =2 x 1 = 2

LCM(150,268) = ( 150 × 268 ) / 2

LCM(150,268) = 40200 / 2

LCM(150,268) = 20100


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 7677/150, 9541/268

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 7677/150, 9541/268?

Answer: GCF of Numerators as per given numbers 7677/150, 9541/268 is

GCF of Numerators i.e. for 7677,9541 is 1

LCM of denominators i.e. for 150,268 is 20100.

Thus, GCF of Fractions is 1/20100.Finally, GCF of Fractions for 7677/150, 9541/268 is 1/20100.