Greatest Common Factor of 2879/240, 7242/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2879/240, 7242/692

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 2879/240,7242/692

Given fractions are 2879/240,7242/692

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 2879,7242

Greatest Common Factor of Numerators i.e. GCF of 2879,7242 is 1 .

LCM of Denominators means LCM of 240,692 as per the given fractions.

LCM of 240,692 is 41520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2879,7242

GCF of Fractions 2879/240,7242/692 is 1/41520

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

Greatest Common Factor of 2879,7242 By Matching Biggest Common Factor Method

Greatest Common Factor of 2879,7242 By Matching Biggest Common Factor Method

Factors of 2879

List of positive integer factors of 2879 that divides 2879 without a remainder.

1,2879

Factors of 7242

List of positive integer factors of 7242 that divides 7242 without a remainder.

1,2,3,6,17,34,51,71,102,142,213,426,1207,2414,3621,7242

Greatest Common Factor

We found the factors 2879,7242 . The biggest common factor number is the GCF number.
So the greatest common factor 2879,7242 is 1.

Lets's calculate LCM of 240,692

2 240, 692
2 120, 346
60, 173

∴ So the LCM of the given numbers is 2 x 2 x 60 x 173 = 41520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41520

Therefore, the GCF of Fractions 2879/240,7242/692 is 1/41520

Least Common Multiple of 240,692 with GCF Formula

Least Common Multiple of 240,692 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 240,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,692) = 4

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

GCF(240,692) x common factors =4 x 1 = 4

LCM(240,692) = ( 240 × 692 ) / 4

LCM(240,692) = 166080 / 4

LCM(240,692) = 41520


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 2879/240, 7242/692

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 2879/240, 7242/692?

Answer: GCF of Numerators as per given numbers 2879/240, 7242/692 is

GCF of Numerators i.e. for 2879,7242 is 1

LCM of denominators i.e. for 240,692 is 41520.

Thus, GCF of Fractions is 1/41520.Finally, GCF of Fractions for 2879/240, 7242/692 is 1/41520.