Greatest Common Factor of 95/15, 757/99, 960/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/15, 757/99, 960/10

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 95/15,757/99,960/10

Given fractions are 95/15,757/99,960/10

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 95,757,960

Greatest Common Factor of Numerators i.e. GCF of 95,757,960 is 1 .

LCM of Denominators means LCM of 15,99,10 as per the given fractions.

LCM of 15,99,10 is 990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,757,960

GCF of Fractions 95/15,757/99,960/10 is 1/990

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

Greatest Common Factor of 95,757,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,757,960 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 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 95,757,960 . The biggest common factor number is the GCF number.
So the greatest common factor 95,757,960 is 1.

Lets's calculate LCM of 15,99,10

3 15, 99, 10
5 5, 33, 10
1, 33, 2

∴ So the LCM of the given numbers is 3 x 5 x 1 x 33 x 2 = 990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990

Therefore, the GCF of Fractions 95/15,757/99,960/10 is 1/990

Least Common Multiple of 15,99,10 with GCF Formula

Least Common Multiple of 15,99,10 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 15,99,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,99,10) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,99,10) x common factors =1 x 15 = 15

LCM(15,99,10) = ( 15 × 99 × 10 ) / 15

LCM(15,99,10) = 14850 / 15

LCM(15,99,10) = 990


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 95/15, 757/99, 960/10

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 95/15, 757/99, 960/10?

Answer: GCF of Numerators as per given numbers 95/15, 757/99, 960/10 is

GCF of Numerators i.e. for 95,757,960 is 1

LCM of denominators i.e. for 15,99,10 is 990.

Thus, GCF of Fractions is 1/990.Finally, GCF of Fractions for 95/15, 757/99, 960/10 is 1/990.