Greatest Common Factor of 95/111, 1995/5951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/111, 1995/5951

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 95/111,1995/5951

Given fractions are 95/111,1995/5951

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 95,1995

Greatest Common Factor of Numerators i.e. GCF of 95,1995 is 95 .

LCM of Denominators means LCM of 111,5951 as per the given fractions.

LCM of 111,5951 is 660561 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,1995

GCF of Fractions 95/111,1995/5951 is 95/660561

5 95, 1995
19 19, 399
1, 21

∴ So the GCF of the given numbers is 5 x 19 = 95

Greatest Common Factor of 95,1995 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,1995 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 1995

List of positive integer factors of 1995 that divides 1995 without a remainder.

1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995

Greatest Common Factor

We found the factors 95,1995 . The biggest common factor number is the GCF number.
So the greatest common factor 95,1995 is 95.

Lets's calculate LCM of 111,5951

Given numbers has no common factors except 1. So, there LCM is their product i.e 660561

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/660561

Therefore, the GCF of Fractions 95/111,1995/5951 is 95/660561

Least Common Multiple of 111,5951 with GCF Formula

Least Common Multiple of 111,5951 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 111,5951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,5951) = 1

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

GCF(111,5951) x common factors =1 x 1 = 1

LCM(111,5951) = ( 111 × 5951 ) / 1

LCM(111,5951) = 660561 / 1

LCM(111,5951) = 660561


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 95/111, 1995/5951

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 95/111, 1995/5951?

Answer: GCF of Numerators as per given numbers 95/111, 1995/5951 is

GCF of Numerators i.e. for 95,1995 is 95

LCM of denominators i.e. for 111,5951 is 660561.

Thus, GCF of Fractions is 95/660561.Finally, GCF of Fractions for 95/111, 1995/5951 is 95/660561.