Greatest Common Factor of 19/95, 98/95, 26/31, 591/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/95, 98/95, 26/31, 591/15

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 19/95,98/95,26/31,591/15

Given fractions are 19/95,98/95,26/31,591/15

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 19,98,26,591

Greatest Common Factor of Numerators i.e. GCF of 19,98,26,591 is 1 .

LCM of Denominators means LCM of 95,95,31,15 as per the given fractions.

LCM of 95,95,31,15 is 8835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,98,26,591

GCF of Fractions 19/95,98/95,26/31,591/15 is 1/8835

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

Greatest Common Factor of 19,98,26,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,98,26,591 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 98

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

1,2,7,14,49,98

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 19,98,26,591 . The biggest common factor number is the GCF number.
So the greatest common factor 19,98,26,591 is 1.

Lets's calculate LCM of 95,95,31,15

5 95, 95, 31, 15
19 19, 19, 31, 3
1, 1, 31, 3

∴ So the LCM of the given numbers is 5 x 19 x 1 x 1 x 31 x 3 = 8835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8835

Therefore, the GCF of Fractions 19/95,98/95,26/31,591/15 is 1/8835

Least Common Multiple of 95,95,31,15 with GCF Formula

Least Common Multiple of 95,95,31,15 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 95,95,31,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,95,31,15) = 1

common factors(in case of two or more numbers have common factors) = 475

GCF(95,95,31,15) x common factors =1 x 475 = 475

LCM(95,95,31,15) = ( 95 × 95 × 31 × 15 ) / 475

LCM(95,95,31,15) = 4196625 / 475

LCM(95,95,31,15) = 8835


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 19/95, 98/95, 26/31, 591/15

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 19/95, 98/95, 26/31, 591/15?

Answer: GCF of Numerators as per given numbers 19/95, 98/95, 26/31, 591/15 is

GCF of Numerators i.e. for 19,98,26,591 is 1

LCM of denominators i.e. for 95,95,31,15 is 8835.

Thus, GCF of Fractions is 1/8835.Finally, GCF of Fractions for 19/95, 98/95, 26/31, 591/15 is 1/8835.