Greatest Common Factor of 95/78, 60/11, 470/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/78, 60/11, 470/961

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 95/78,60/11,470/961

Given fractions are 95/78,60/11,470/961

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 95,60,470

Greatest Common Factor of Numerators i.e. GCF of 95,60,470 is 5 .

LCM of Denominators means LCM of 78,11,961 as per the given fractions.

LCM of 78,11,961 is 824538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,60,470

GCF of Fractions 95/78,60/11,470/961 is 5/824538

5 95, 60, 470
19, 12, 94

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

Greatest Common Factor of 95,60,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,60,470 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 95,60,470 . The biggest common factor number is the GCF number.
So the greatest common factor 95,60,470 is 5.

Lets's calculate LCM of 78,11,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 824538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/824538

Therefore, the GCF of Fractions 95/78,60/11,470/961 is 5/824538

Least Common Multiple of 78,11,961 with GCF Formula

Least Common Multiple of 78,11,961 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 78,11,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,11,961) = 1

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

GCF(78,11,961) x common factors =1 x 1 = 1

LCM(78,11,961) = ( 78 × 11 × 961 ) / 1

LCM(78,11,961) = 824538 / 1

LCM(78,11,961) = 824538


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 95/78, 60/11, 470/961

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 95/78, 60/11, 470/961?

Answer: GCF of Numerators as per given numbers 95/78, 60/11, 470/961 is

GCF of Numerators i.e. for 95,60,470 is 5

LCM of denominators i.e. for 78,11,961 is 824538.

Thus, GCF of Fractions is 5/824538.Finally, GCF of Fractions for 95/78, 60/11, 470/961 is 5/824538.