Greatest Common Factor of 947/12, 272/79, 735/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 947/12, 272/79, 735/121

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 947/12,272/79,735/121

Given fractions are 947/12,272/79,735/121

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 947,272,735

Greatest Common Factor of Numerators i.e. GCF of 947,272,735 is 1 .

LCM of Denominators means LCM of 12,79,121 as per the given fractions.

LCM of 12,79,121 is 114708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,272,735

GCF of Fractions 947/12,272/79,735/121 is 1/114708

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

Greatest Common Factor of 947,272,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,272,735 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 947,272,735 . The biggest common factor number is the GCF number.
So the greatest common factor 947,272,735 is 1.


Lets's calculate LCM of 12,79,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 114708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114708

Therefore, the GCF of Fractions 947/12,272/79,735/121 is 1/114708

Least Common Multiple of 12,79,121 with GCF Formula

Least Common Multiple of 12,79,121 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 12,79,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,79,121) = 1

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

GCF(12,79,121) x common factors =1 x 1 = 1

LCM(12,79,121) = ( 12 × 79 × 121 ) / 1

LCM(12,79,121) = 114708 / 1

LCM(12,79,121) = 114708


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 947/12, 272/79, 735/121

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 947/12, 272/79, 735/121?

Answer: GCF of Numerators as per given numbers 947/12, 272/79, 735/121 is

GCF of Numerators i.e. for 947,272,735 is 1

LCM of denominators i.e. for 12,79,121 is 114708.

Thus, GCF of Fractions is 1/114708.Finally, GCF of Fractions for 947/12, 272/79, 735/121 is 1/114708.