Greatest Common Factor of 2378/918, 5135/7184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2378/918, 5135/7184

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 2378/918,5135/7184

Given fractions are 2378/918,5135/7184

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 2378,5135

Greatest Common Factor of Numerators i.e. GCF of 2378,5135 is 1 .

LCM of Denominators means LCM of 918,7184 as per the given fractions.

LCM of 918,7184 is 3297456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2378,5135

GCF of Fractions 2378/918,5135/7184 is 1/3297456

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

Greatest Common Factor of 2378,5135 By Matching Biggest Common Factor Method

Greatest Common Factor of 2378,5135 By Matching Biggest Common Factor Method

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1,2,29,41,58,82,1189,2378

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1,5,13,65,79,395,1027,5135

Greatest Common Factor

We found the factors 2378,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 2378,5135 is 1.

Lets's calculate LCM of 918,7184

2 918, 7184
459, 3592

∴ So the LCM of the given numbers is 2 x 459 x 3592 = 3297456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3297456

Therefore, the GCF of Fractions 2378/918,5135/7184 is 1/3297456

Least Common Multiple of 918,7184 with GCF Formula

Least Common Multiple of 918,7184 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 918,7184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,7184) = 2

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

GCF(918,7184) x common factors =2 x 1 = 2

LCM(918,7184) = ( 918 × 7184 ) / 2

LCM(918,7184) = 6594912 / 2

LCM(918,7184) = 3297456


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 2378/918, 5135/7184

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 2378/918, 5135/7184?

Answer: GCF of Numerators as per given numbers 2378/918, 5135/7184 is

GCF of Numerators i.e. for 2378,5135 is 1

LCM of denominators i.e. for 918,7184 is 3297456.

Thus, GCF of Fractions is 1/3297456.Finally, GCF of Fractions for 2378/918, 5135/7184 is 1/3297456.