Greatest Common Factor of 157/25, 900/63, 194/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/25, 900/63, 194/95

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 157/25,900/63,194/95

Given fractions are 157/25,900/63,194/95

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 157,900,194

Greatest Common Factor of Numerators i.e. GCF of 157,900,194 is 1 .

LCM of Denominators means LCM of 25,63,95 as per the given fractions.

LCM of 25,63,95 is 29925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,900,194

GCF of Fractions 157/25,900/63,194/95 is 1/29925

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

Greatest Common Factor of 157,900,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,900,194 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 157,900,194 . The biggest common factor number is the GCF number.
So the greatest common factor 157,900,194 is 1.

Lets's calculate LCM of 25,63,95

5 25, 63, 95
5, 63, 19

∴ So the LCM of the given numbers is 5 x 5 x 63 x 19 = 29925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29925

Therefore, the GCF of Fractions 157/25,900/63,194/95 is 1/29925

Least Common Multiple of 25,63,95 with GCF Formula

Least Common Multiple of 25,63,95 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 25,63,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,63,95) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,63,95) x common factors =1 x 5 = 5

LCM(25,63,95) = ( 25 × 63 × 95 ) / 5

LCM(25,63,95) = 149625 / 5

LCM(25,63,95) = 29925


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 157/25, 900/63, 194/95

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 157/25, 900/63, 194/95?

Answer: GCF of Numerators as per given numbers 157/25, 900/63, 194/95 is

GCF of Numerators i.e. for 157,900,194 is 1

LCM of denominators i.e. for 25,63,95 is 29925.

Thus, GCF of Fractions is 1/29925.Finally, GCF of Fractions for 157/25, 900/63, 194/95 is 1/29925.