Greatest Common Factor of 2661/365, 6457/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2661/365, 6457/752

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 2661/365,6457/752

Given fractions are 2661/365,6457/752

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 2661,6457

Greatest Common Factor of Numerators i.e. GCF of 2661,6457 is 1 .

LCM of Denominators means LCM of 365,752 as per the given fractions.

LCM of 365,752 is 274480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2661,6457

GCF of Fractions 2661/365,6457/752 is 1/274480

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

Greatest Common Factor of 2661,6457 By Matching Biggest Common Factor Method

Greatest Common Factor of 2661,6457 By Matching Biggest Common Factor Method

Factors of 2661

List of positive integer factors of 2661 that divides 2661 without a remainder.

1,3,887,2661

Factors of 6457

List of positive integer factors of 6457 that divides 6457 without a remainder.

1,11,587,6457

Greatest Common Factor

We found the factors 2661,6457 . The biggest common factor number is the GCF number.
So the greatest common factor 2661,6457 is 1.

Lets's calculate LCM of 365,752

Given numbers has no common factors except 1. So, there LCM is their product i.e 274480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274480

Therefore, the GCF of Fractions 2661/365,6457/752 is 1/274480

Least Common Multiple of 365,752 with GCF Formula

Least Common Multiple of 365,752 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 365,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,752) = 1

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

GCF(365,752) x common factors =1 x 1 = 1

LCM(365,752) = ( 365 × 752 ) / 1

LCM(365,752) = 274480 / 1

LCM(365,752) = 274480


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 2661/365, 6457/752

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 2661/365, 6457/752?

Answer: GCF of Numerators as per given numbers 2661/365, 6457/752 is

GCF of Numerators i.e. for 2661,6457 is 1

LCM of denominators i.e. for 365,752 is 274480.

Thus, GCF of Fractions is 1/274480.Finally, GCF of Fractions for 2661/365, 6457/752 is 1/274480.