Greatest Common Factor of 440/275, 2413/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/275, 2413/131

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 440/275,2413/131

Given fractions are 440/275,2413/131

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 440,2413

Greatest Common Factor of Numerators i.e. GCF of 440,2413 is 1 .

LCM of Denominators means LCM of 275,131 as per the given fractions.

LCM of 275,131 is 36025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,2413

GCF of Fractions 440/275,2413/131 is 1/36025

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

Greatest Common Factor of 440,2413 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,2413 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 2413

List of positive integer factors of 2413 that divides 2413 without a remainder.

1,19,127,2413

Greatest Common Factor

We found the factors 440,2413 . The biggest common factor number is the GCF number.
So the greatest common factor 440,2413 is 1.

Lets's calculate LCM of 275,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 36025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36025

Therefore, the GCF of Fractions 440/275,2413/131 is 1/36025

Least Common Multiple of 275,131 with GCF Formula

Least Common Multiple of 275,131 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 275,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,131) = 1

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

GCF(275,131) x common factors =1 x 1 = 1

LCM(275,131) = ( 275 × 131 ) / 1

LCM(275,131) = 36025 / 1

LCM(275,131) = 36025


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 440/275, 2413/131

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 440/275, 2413/131?

Answer: GCF of Numerators as per given numbers 440/275, 2413/131 is

GCF of Numerators i.e. for 440,2413 is 1

LCM of denominators i.e. for 275,131 is 36025.

Thus, GCF of Fractions is 1/36025.Finally, GCF of Fractions for 440/275, 2413/131 is 1/36025.