Greatest Common Factor of 25/91, 230/77, 835/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 25/91, 230/77, 835/204

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 25/91,230/77,835/204

Given fractions are 25/91,230/77,835/204

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 25,230,835

Greatest Common Factor of Numerators i.e. GCF of 25,230,835 is 5 .

LCM of Denominators means LCM of 91,77,204 as per the given fractions.

LCM of 91,77,204 is 204204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,230,835

GCF of Fractions 25/91,230/77,835/204 is 5/204204

5 25, 230, 835
5, 46, 167

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

Greatest Common Factor of 25,230,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,230,835 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 25,230,835 . The biggest common factor number is the GCF number.
So the greatest common factor 25,230,835 is 5.


Lets's calculate LCM of 91,77,204

7 91, 77, 204
13, 11, 204

∴ So the LCM of the given numbers is 7 x 13 x 11 x 204 = 204204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/204204

Therefore, the GCF of Fractions 25/91,230/77,835/204 is 5/204204

Least Common Multiple of 91,77,204 with GCF Formula

Least Common Multiple of 91,77,204 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 91,77,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,77,204) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,77,204) x common factors =1 x 7 = 7

LCM(91,77,204) = ( 91 × 77 × 204 ) / 7

LCM(91,77,204) = 1429428 / 7

LCM(91,77,204) = 204204


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 25/91, 230/77, 835/204

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 25/91, 230/77, 835/204?

Answer: GCF of Numerators as per given numbers 25/91, 230/77, 835/204 is

GCF of Numerators i.e. for 25,230,835 is 5

LCM of denominators i.e. for 91,77,204 is 204204.

Thus, GCF of Fractions is 5/204204.Finally, GCF of Fractions for 25/91, 230/77, 835/204 is 5/204204.