Greatest Common Factor of 2377/677, 2536/4364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2377/677, 2536/4364

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 2377/677,2536/4364

Given fractions are 2377/677,2536/4364

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 2377,2536

Greatest Common Factor of Numerators i.e. GCF of 2377,2536 is 1 .

LCM of Denominators means LCM of 677,4364 as per the given fractions.

LCM of 677,4364 is 2954428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2377,2536

GCF of Fractions 2377/677,2536/4364 is 1/2954428

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

Greatest Common Factor of 2377,2536 By Matching Biggest Common Factor Method

Greatest Common Factor of 2377,2536 By Matching Biggest Common Factor Method

Factors of 2377

List of positive integer factors of 2377 that divides 2377 without a remainder.

1,2377

Factors of 2536

List of positive integer factors of 2536 that divides 2536 without a remainder.

1,2,4,8,317,634,1268,2536

Greatest Common Factor

We found the factors 2377,2536 . The biggest common factor number is the GCF number.
So the greatest common factor 2377,2536 is 1.

Lets's calculate LCM of 677,4364

Given numbers has no common factors except 1. So, there LCM is their product i.e 2954428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2954428

Therefore, the GCF of Fractions 2377/677,2536/4364 is 1/2954428

Least Common Multiple of 677,4364 with GCF Formula

Least Common Multiple of 677,4364 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 677,4364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,4364) = 1

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

GCF(677,4364) x common factors =1 x 1 = 1

LCM(677,4364) = ( 677 × 4364 ) / 1

LCM(677,4364) = 2954428 / 1

LCM(677,4364) = 2954428


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 2377/677, 2536/4364

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 2377/677, 2536/4364?

Answer: GCF of Numerators as per given numbers 2377/677, 2536/4364 is

GCF of Numerators i.e. for 2377,2536 is 1

LCM of denominators i.e. for 677,4364 is 2954428.

Thus, GCF of Fractions is 1/2954428.Finally, GCF of Fractions for 2377/677, 2536/4364 is 1/2954428.