Greatest Common Factor of 98/55, 82/73, 79/19, 504/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/55, 82/73, 79/19, 504/81

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 98/55,82/73,79/19,504/81

Given fractions are 98/55,82/73,79/19,504/81

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 98,82,79,504

Greatest Common Factor of Numerators i.e. GCF of 98,82,79,504 is 1 .

LCM of Denominators means LCM of 55,73,19,81 as per the given fractions.

LCM of 55,73,19,81 is 6179085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,82,79,504

GCF of Fractions 98/55,82/73,79/19,504/81 is 1/6179085

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

Greatest Common Factor of 98,82,79,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,82,79,504 By Matching Biggest Common Factor Method

Factors of 98

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

1,2,7,14,49,98

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 98,82,79,504 . The biggest common factor number is the GCF number.
So the greatest common factor 98,82,79,504 is 1.

Lets's calculate LCM of 55,73,19,81

Given numbers has no common factors except 1. So, there LCM is their product i.e 6179085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6179085

Therefore, the GCF of Fractions 98/55,82/73,79/19,504/81 is 1/6179085

Least Common Multiple of 55,73,19,81 with GCF Formula

Least Common Multiple of 55,73,19,81 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 55,73,19,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,73,19,81) = 1

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

GCF(55,73,19,81) x common factors =1 x 1 = 1

LCM(55,73,19,81) = ( 55 × 73 × 19 × 81 ) / 1

LCM(55,73,19,81) = 6179085 / 1

LCM(55,73,19,81) = 6179085


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 98/55, 82/73, 79/19, 504/81

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 98/55, 82/73, 79/19, 504/81?

Answer: GCF of Numerators as per given numbers 98/55, 82/73, 79/19, 504/81 is

GCF of Numerators i.e. for 98,82,79,504 is 1

LCM of denominators i.e. for 55,73,19,81 is 6179085.

Thus, GCF of Fractions is 1/6179085.Finally, GCF of Fractions for 98/55, 82/73, 79/19, 504/81 is 1/6179085.