Greatest Common Factor of 7436/57, 2385/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7436/57, 2385/414

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 7436/57,2385/414

Given fractions are 7436/57,2385/414

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 7436,2385

Greatest Common Factor of Numerators i.e. GCF of 7436,2385 is 1 .

LCM of Denominators means LCM of 57,414 as per the given fractions.

LCM of 57,414 is 7866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7436,2385

GCF of Fractions 7436/57,2385/414 is 1/7866

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

Greatest Common Factor of 7436,2385 By Matching Biggest Common Factor Method

Greatest Common Factor of 7436,2385 By Matching Biggest Common Factor Method

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1,3,5,9,15,45,53,159,265,477,795,2385

Greatest Common Factor

We found the factors 7436,2385 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,2385 is 1.

Lets's calculate LCM of 57,414

3 57, 414
19, 138

∴ So the LCM of the given numbers is 3 x 19 x 138 = 7866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7866

Therefore, the GCF of Fractions 7436/57,2385/414 is 1/7866

Least Common Multiple of 57,414 with GCF Formula

Least Common Multiple of 57,414 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 57,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,414) = 3

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

GCF(57,414) x common factors =3 x 1 = 3

LCM(57,414) = ( 57 × 414 ) / 3

LCM(57,414) = 23598 / 3

LCM(57,414) = 7866


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 7436/57, 2385/414

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 7436/57, 2385/414?

Answer: GCF of Numerators as per given numbers 7436/57, 2385/414 is

GCF of Numerators i.e. for 7436,2385 is 1

LCM of denominators i.e. for 57,414 is 7866.

Thus, GCF of Fractions is 1/7866.Finally, GCF of Fractions for 7436/57, 2385/414 is 1/7866.