Greatest Common Factor of 2635/61, 1025/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2635/61, 1025/481

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 2635/61,1025/481

Given fractions are 2635/61,1025/481

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 2635,1025

Greatest Common Factor of Numerators i.e. GCF of 2635,1025 is 5 .

LCM of Denominators means LCM of 61,481 as per the given fractions.

LCM of 61,481 is 29341 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2635,1025

GCF of Fractions 2635/61,1025/481 is 5/29341

5 2635, 1025
527, 205

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2635,1025 By Matching Biggest Common Factor Method

Greatest Common Factor of 2635,1025 By Matching Biggest Common Factor Method

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1,5,17,31,85,155,527,2635

Factors of 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1,5,25,41,205,1025

Greatest Common Factor

We found the factors 2635,1025 . The biggest common factor number is the GCF number.
So the greatest common factor 2635,1025 is 5.

Lets's calculate LCM of 61,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 29341

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29341

Therefore, the GCF of Fractions 2635/61,1025/481 is 5/29341

Least Common Multiple of 61,481 with GCF Formula

Least Common Multiple of 61,481 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 61,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,481) = 1

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

GCF(61,481) x common factors =1 x 1 = 1

LCM(61,481) = ( 61 × 481 ) / 1

LCM(61,481) = 29341 / 1

LCM(61,481) = 29341


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 2635/61, 1025/481

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 2635/61, 1025/481?

Answer: GCF of Numerators as per given numbers 2635/61, 1025/481 is

GCF of Numerators i.e. for 2635,1025 is 5

LCM of denominators i.e. for 61,481 is 29341.

Thus, GCF of Fractions is 5/29341.Finally, GCF of Fractions for 2635/61, 1025/481 is 5/29341.