Greatest Common Factor of 95/36, 91/197, 905/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 95/36, 91/197, 905/841

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 95/36,91/197,905/841

Given fractions are 95/36,91/197,905/841

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 95,91,905

Greatest Common Factor of Numerators i.e. GCF of 95,91,905 is 1 .

LCM of Denominators means LCM of 36,197,841 as per the given fractions.

LCM of 36,197,841 is 5964372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,91,905

GCF of Fractions 95/36,91/197,905/841 is 1/5964372

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

Greatest Common Factor of 95,91,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,91,905 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 95,91,905 . The biggest common factor number is the GCF number.
So the greatest common factor 95,91,905 is 1.


Lets's calculate LCM of 36,197,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 5964372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5964372

Therefore, the GCF of Fractions 95/36,91/197,905/841 is 1/5964372

Least Common Multiple of 36,197,841 with GCF Formula

Least Common Multiple of 36,197,841 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 36,197,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,197,841) = 1

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

GCF(36,197,841) x common factors =1 x 1 = 1

LCM(36,197,841) = ( 36 × 197 × 841 ) / 1

LCM(36,197,841) = 5964372 / 1

LCM(36,197,841) = 5964372


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 95/36, 91/197, 905/841

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 95/36, 91/197, 905/841?

Answer: GCF of Numerators as per given numbers 95/36, 91/197, 905/841 is

GCF of Numerators i.e. for 95,91,905 is 1

LCM of denominators i.e. for 36,197,841 is 5964372.

Thus, GCF of Fractions is 1/5964372.Finally, GCF of Fractions for 95/36, 91/197, 905/841 is 1/5964372.