Greatest Common Factor of 13/31, 75/52, 85/54, 98/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/31, 75/52, 85/54, 98/981

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 13/31,75/52,85/54,98/981

Given fractions are 13/31,75/52,85/54,98/981

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 13,75,85,98

Greatest Common Factor of Numerators i.e. GCF of 13,75,85,98 is 1 .

LCM of Denominators means LCM of 31,52,54,981 as per the given fractions.

LCM of 31,52,54,981 is 4744116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,75,85,98

GCF of Fractions 13/31,75/52,85/54,98/981 is 1/4744116

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

Greatest Common Factor of 13,75,85,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,75,85,98 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 13,75,85,98 . The biggest common factor number is the GCF number.
So the greatest common factor 13,75,85,98 is 1.

Lets's calculate LCM of 31,52,54,981

2 31, 52, 54, 981
3 31, 26, 27, 981
3 31, 26, 9, 327
31, 26, 3, 109

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 26 x 3 x 109 = 4744116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4744116

Therefore, the GCF of Fractions 13/31,75/52,85/54,98/981 is 1/4744116

Least Common Multiple of 31,52,54,981 with GCF Formula

Least Common Multiple of 31,52,54,981 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 31,52,54,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,52,54,981) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(31,52,54,981) x common factors =1 x 18 = 18

LCM(31,52,54,981) = ( 31 × 52 × 54 × 981 ) / 18

LCM(31,52,54,981) = 85394088 / 18

LCM(31,52,54,981) = 4744116


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 13/31, 75/52, 85/54, 98/981

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 13/31, 75/52, 85/54, 98/981?

Answer: GCF of Numerators as per given numbers 13/31, 75/52, 85/54, 98/981 is

GCF of Numerators i.e. for 13,75,85,98 is 1

LCM of denominators i.e. for 31,52,54,981 is 4744116.

Thus, GCF of Fractions is 1/4744116.Finally, GCF of Fractions for 13/31, 75/52, 85/54, 98/981 is 1/4744116.