Greatest Common Factor of 59/44, 26/39, 17/99, 76/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/44, 26/39, 17/99, 76/284

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 59/44,26/39,17/99,76/284

Given fractions are 59/44,26/39,17/99,76/284

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 59,26,17,76

Greatest Common Factor of Numerators i.e. GCF of 59,26,17,76 is 1 .

LCM of Denominators means LCM of 44,39,99,284 as per the given fractions.

LCM of 44,39,99,284 is 365508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,26,17,76

GCF of Fractions 59/44,26/39,17/99,76/284 is 1/365508

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

Greatest Common Factor of 59,26,17,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,26,17,76 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 26

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

1,2,13,26

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 59,26,17,76 . The biggest common factor number is the GCF number.
So the greatest common factor 59,26,17,76 is 1.

Lets's calculate LCM of 44,39,99,284

2 44, 39, 99, 284
2 22, 39, 99, 142
3 11, 39, 99, 71
11 11, 13, 33, 71
1, 13, 3, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 13 x 3 x 71 = 365508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365508

Therefore, the GCF of Fractions 59/44,26/39,17/99,76/284 is 1/365508

Least Common Multiple of 44,39,99,284 with GCF Formula

Least Common Multiple of 44,39,99,284 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 44,39,99,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,39,99,284) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(44,39,99,284) x common factors =1 x 132 = 132

LCM(44,39,99,284) = ( 44 × 39 × 99 × 284 ) / 132

LCM(44,39,99,284) = 48247056 / 132

LCM(44,39,99,284) = 365508


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 59/44, 26/39, 17/99, 76/284

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 59/44, 26/39, 17/99, 76/284?

Answer: GCF of Numerators as per given numbers 59/44, 26/39, 17/99, 76/284 is

GCF of Numerators i.e. for 59,26,17,76 is 1

LCM of denominators i.e. for 44,39,99,284 is 365508.

Thus, GCF of Fractions is 1/365508.Finally, GCF of Fractions for 59/44, 26/39, 17/99, 76/284 is 1/365508.