Greatest Common Factor of 81/98, 12/31, 939/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/98, 12/31, 939/941

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 81/98,12/31,939/941

Given fractions are 81/98,12/31,939/941

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 81,12,939

Greatest Common Factor of Numerators i.e. GCF of 81,12,939 is 3 .

LCM of Denominators means LCM of 98,31,941 as per the given fractions.

LCM of 98,31,941 is 2858758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,12,939

GCF of Fractions 81/98,12/31,939/941 is 3/2858758

3 81, 12, 939
27, 4, 313

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 81,12,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,12,939 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 81,12,939 . The biggest common factor number is the GCF number.
So the greatest common factor 81,12,939 is 3.

Lets's calculate LCM of 98,31,941

Given numbers has no common factors except 1. So, there LCM is their product i.e 2858758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2858758

Therefore, the GCF of Fractions 81/98,12/31,939/941 is 3/2858758

Least Common Multiple of 98,31,941 with GCF Formula

Least Common Multiple of 98,31,941 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 98,31,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,31,941) = 1

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

GCF(98,31,941) x common factors =1 x 1 = 1

LCM(98,31,941) = ( 98 × 31 × 941 ) / 1

LCM(98,31,941) = 2858758 / 1

LCM(98,31,941) = 2858758


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 81/98, 12/31, 939/941

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 81/98, 12/31, 939/941?

Answer: GCF of Numerators as per given numbers 81/98, 12/31, 939/941 is

GCF of Numerators i.e. for 81,12,939 is 3

LCM of denominators i.e. for 98,31,941 is 2858758.

Thus, GCF of Fractions is 3/2858758.Finally, GCF of Fractions for 81/98, 12/31, 939/941 is 3/2858758.