Greatest Common Factor of 75/263, 925/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/263, 925/141

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 75/263,925/141

Given fractions are 75/263,925/141

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 75,925

Greatest Common Factor of Numerators i.e. GCF of 75,925 is 25 .

LCM of Denominators means LCM of 263,141 as per the given fractions.

LCM of 263,141 is 37083 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,925

GCF of Fractions 75/263,925/141 is 25/37083

5 75, 925
5 15, 185
3, 37

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 75,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,925 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 75,925 . The biggest common factor number is the GCF number.
So the greatest common factor 75,925 is 25.

Lets's calculate LCM of 263,141

Given numbers has no common factors except 1. So, there LCM is their product i.e 37083

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/37083

Therefore, the GCF of Fractions 75/263,925/141 is 25/37083

Least Common Multiple of 263,141 with GCF Formula

Least Common Multiple of 263,141 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 263,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,141) = 1

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

GCF(263,141) x common factors =1 x 1 = 1

LCM(263,141) = ( 263 × 141 ) / 1

LCM(263,141) = 37083 / 1

LCM(263,141) = 37083


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 75/263, 925/141

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 75/263, 925/141?

Answer: GCF of Numerators as per given numbers 75/263, 925/141 is

GCF of Numerators i.e. for 75,925 is 25

LCM of denominators i.e. for 263,141 is 37083.

Thus, GCF of Fractions is 25/37083.Finally, GCF of Fractions for 75/263, 925/141 is 25/37083.