Greatest Common Factor of 725/980, 2565/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/980, 2565/295

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 725/980,2565/295

Given fractions are 725/980,2565/295

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 725,2565

Greatest Common Factor of Numerators i.e. GCF of 725,2565 is 5 .

LCM of Denominators means LCM of 980,295 as per the given fractions.

LCM of 980,295 is 57820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,2565

GCF of Fractions 725/980,2565/295 is 5/57820

5 725, 2565
145, 513

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

Greatest Common Factor of 725,2565 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,2565 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 2565

List of positive integer factors of 2565 that divides 2565 without a remainder.

1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565

Greatest Common Factor

We found the factors 725,2565 . The biggest common factor number is the GCF number.
So the greatest common factor 725,2565 is 5.

Lets's calculate LCM of 980,295

5 980, 295
196, 59

∴ So the LCM of the given numbers is 5 x 196 x 59 = 57820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/57820

Therefore, the GCF of Fractions 725/980,2565/295 is 5/57820

Least Common Multiple of 980,295 with GCF Formula

Least Common Multiple of 980,295 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 980,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,295) = 5

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

GCF(980,295) x common factors =5 x 1 = 5

LCM(980,295) = ( 980 × 295 ) / 5

LCM(980,295) = 289100 / 5

LCM(980,295) = 57820


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 725/980, 2565/295

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 725/980, 2565/295?

Answer: GCF of Numerators as per given numbers 725/980, 2565/295 is

GCF of Numerators i.e. for 725,2565 is 5

LCM of denominators i.e. for 980,295 is 57820.

Thus, GCF of Fractions is 5/57820.Finally, GCF of Fractions for 725/980, 2565/295 is 5/57820.