Greatest Common Factor of 128/58, 544/39, 516/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 128/58, 544/39, 516/44

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 128/58,544/39,516/44

Given fractions are 128/58,544/39,516/44

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 128,544,516

Greatest Common Factor of Numerators i.e. GCF of 128,544,516 is 4 .

LCM of Denominators means LCM of 58,39,44 as per the given fractions.

LCM of 58,39,44 is 49764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,544,516

GCF of Fractions 128/58,544/39,516/44 is 4/49764

2 128, 544, 516
2 64, 272, 258
32, 136, 129

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 128,544,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,544,516 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 128,544,516 . The biggest common factor number is the GCF number.
So the greatest common factor 128,544,516 is 4.

Lets's calculate LCM of 58,39,44

2 58, 39, 44
29, 39, 22

∴ So the LCM of the given numbers is 2 x 29 x 39 x 22 = 49764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49764

Therefore, the GCF of Fractions 128/58,544/39,516/44 is 4/49764

Least Common Multiple of 58,39,44 with GCF Formula

Least Common Multiple of 58,39,44 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 58,39,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,39,44) = 1

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

GCF(58,39,44) x common factors =1 x 2 = 2

LCM(58,39,44) = ( 58 × 39 × 44 ) / 2

LCM(58,39,44) = 99528 / 2

LCM(58,39,44) = 49764


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 128/58, 544/39, 516/44

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 128/58, 544/39, 516/44?

Answer: GCF of Numerators as per given numbers 128/58, 544/39, 516/44 is

GCF of Numerators i.e. for 128,544,516 is 4

LCM of denominators i.e. for 58,39,44 is 49764.

Thus, GCF of Fractions is 4/49764.Finally, GCF of Fractions for 128/58, 544/39, 516/44 is 4/49764.