Greatest Common Factor of 2575/494, 9131/8830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2575/494, 9131/8830

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 2575/494,9131/8830

Given fractions are 2575/494,9131/8830

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 2575,9131

Greatest Common Factor of Numerators i.e. GCF of 2575,9131 is 1 .

LCM of Denominators means LCM of 494,8830 as per the given fractions.

LCM of 494,8830 is 2181010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2575,9131

GCF of Fractions 2575/494,9131/8830 is 1/2181010

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

Greatest Common Factor of 2575,9131 By Matching Biggest Common Factor Method

Greatest Common Factor of 2575,9131 By Matching Biggest Common Factor Method

Factors of 2575

List of positive integer factors of 2575 that divides 2575 without a remainder.

1,5,25,103,515,2575

Factors of 9131

List of positive integer factors of 9131 that divides 9131 without a remainder.

1,23,397,9131

Greatest Common Factor

We found the factors 2575,9131 . The biggest common factor number is the GCF number.
So the greatest common factor 2575,9131 is 1.

Lets's calculate LCM of 494,8830

2 494, 8830
247, 4415

∴ So the LCM of the given numbers is 2 x 247 x 4415 = 2181010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2181010

Therefore, the GCF of Fractions 2575/494,9131/8830 is 1/2181010

Least Common Multiple of 494,8830 with GCF Formula

Least Common Multiple of 494,8830 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 494,8830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,8830) = 2

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

GCF(494,8830) x common factors =2 x 1 = 2

LCM(494,8830) = ( 494 × 8830 ) / 2

LCM(494,8830) = 4362020 / 2

LCM(494,8830) = 2181010


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 2575/494, 9131/8830

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 2575/494, 9131/8830?

Answer: GCF of Numerators as per given numbers 2575/494, 9131/8830 is

GCF of Numerators i.e. for 2575,9131 is 1

LCM of denominators i.e. for 494,8830 is 2181010.

Thus, GCF of Fractions is 1/2181010.Finally, GCF of Fractions for 2575/494, 9131/8830 is 1/2181010.