Greatest Common Factor of 13/82, 75/104, 573/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/82, 75/104, 573/251

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 13/82,75/104,573/251

Given fractions are 13/82,75/104,573/251

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 13,75,573

Greatest Common Factor of Numerators i.e. GCF of 13,75,573 is 1 .

LCM of Denominators means LCM of 82,104,251 as per the given fractions.

LCM of 82,104,251 is 1070264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,75,573

GCF of Fractions 13/82,75/104,573/251 is 1/1070264

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

Greatest Common Factor of 13,75,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,75,573 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 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 13,75,573 . The biggest common factor number is the GCF number.
So the greatest common factor 13,75,573 is 1.

Lets's calculate LCM of 82,104,251

2 82, 104, 251
41, 52, 251

∴ So the LCM of the given numbers is 2 x 41 x 52 x 251 = 1070264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1070264

Therefore, the GCF of Fractions 13/82,75/104,573/251 is 1/1070264

Least Common Multiple of 82,104,251 with GCF Formula

Least Common Multiple of 82,104,251 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 82,104,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,104,251) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,104,251) x common factors =1 x 2 = 2

LCM(82,104,251) = ( 82 × 104 × 251 ) / 2

LCM(82,104,251) = 2140528 / 2

LCM(82,104,251) = 1070264


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 13/82, 75/104, 573/251

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 13/82, 75/104, 573/251?

Answer: GCF of Numerators as per given numbers 13/82, 75/104, 573/251 is

GCF of Numerators i.e. for 13,75,573 is 1

LCM of denominators i.e. for 82,104,251 is 1070264.

Thus, GCF of Fractions is 1/1070264.Finally, GCF of Fractions for 13/82, 75/104, 573/251 is 1/1070264.