Greatest Common Factor of 10/91, 25/75, 242/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/91, 25/75, 242/433

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 10/91,25/75,242/433

Given fractions are 10/91,25/75,242/433

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 10,25,242

Greatest Common Factor of Numerators i.e. GCF of 10,25,242 is 1 .

LCM of Denominators means LCM of 91,75,433 as per the given fractions.

LCM of 91,75,433 is 2955225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,25,242

GCF of Fractions 10/91,25/75,242/433 is 1/2955225

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

Greatest Common Factor of 10,25,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,25,242 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 25

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

1,5,25

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 10,25,242 . The biggest common factor number is the GCF number.
So the greatest common factor 10,25,242 is 1.

Lets's calculate LCM of 91,75,433

Given numbers has no common factors except 1. So, there LCM is their product i.e 2955225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2955225

Therefore, the GCF of Fractions 10/91,25/75,242/433 is 1/2955225

Least Common Multiple of 91,75,433 with GCF Formula

Least Common Multiple of 91,75,433 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 91,75,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,75,433) = 1

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

GCF(91,75,433) x common factors =1 x 1 = 1

LCM(91,75,433) = ( 91 × 75 × 433 ) / 1

LCM(91,75,433) = 2955225 / 1

LCM(91,75,433) = 2955225


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 10/91, 25/75, 242/433

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 10/91, 25/75, 242/433?

Answer: GCF of Numerators as per given numbers 10/91, 25/75, 242/433 is

GCF of Numerators i.e. for 10,25,242 is 1

LCM of denominators i.e. for 91,75,433 is 2955225.

Thus, GCF of Fractions is 1/2955225.Finally, GCF of Fractions for 10/91, 25/75, 242/433 is 1/2955225.