Greatest Common Factor of 2677/924, 7995/9079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2677/924, 7995/9079

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 2677/924,7995/9079

Given fractions are 2677/924,7995/9079

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 2677,7995

Greatest Common Factor of Numerators i.e. GCF of 2677,7995 is 1 .

LCM of Denominators means LCM of 924,9079 as per the given fractions.

LCM of 924,9079 is 1198428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2677,7995

GCF of Fractions 2677/924,7995/9079 is 1/1198428

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

Greatest Common Factor of 2677,7995 By Matching Biggest Common Factor Method

Greatest Common Factor of 2677,7995 By Matching Biggest Common Factor Method

Factors of 2677

List of positive integer factors of 2677 that divides 2677 without a remainder.

1,2677

Factors of 7995

List of positive integer factors of 7995 that divides 7995 without a remainder.

1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995

Greatest Common Factor

We found the factors 2677,7995 . The biggest common factor number is the GCF number.
So the greatest common factor 2677,7995 is 1.

Lets's calculate LCM of 924,9079

7 924, 9079
132, 1297

∴ So the LCM of the given numbers is 7 x 132 x 1297 = 1198428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1198428

Therefore, the GCF of Fractions 2677/924,7995/9079 is 1/1198428

Least Common Multiple of 924,9079 with GCF Formula

Least Common Multiple of 924,9079 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 924,9079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,9079) = 7

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

GCF(924,9079) x common factors =7 x 1 = 7

LCM(924,9079) = ( 924 × 9079 ) / 7

LCM(924,9079) = 8388996 / 7

LCM(924,9079) = 1198428


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 2677/924, 7995/9079

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 2677/924, 7995/9079?

Answer: GCF of Numerators as per given numbers 2677/924, 7995/9079 is

GCF of Numerators i.e. for 2677,7995 is 1

LCM of denominators i.e. for 924,9079 is 1198428.

Thus, GCF of Fractions is 1/1198428.Finally, GCF of Fractions for 2677/924, 7995/9079 is 1/1198428.