Greatest Common Factor of 4/59, 13/70, 44/188, 879/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/59, 13/70, 44/188, 879/390

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 4/59,13/70,44/188,879/390

Given fractions are 4/59,13/70,44/188,879/390

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 4,13,44,879

Greatest Common Factor of Numerators i.e. GCF of 4,13,44,879 is 1 .

LCM of Denominators means LCM of 59,70,188,390 as per the given fractions.

LCM of 59,70,188,390 is 15140580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,13,44,879

GCF of Fractions 4/59,13/70,44/188,879/390 is 1/15140580

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

Greatest Common Factor of 4,13,44,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,13,44,879 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 4,13,44,879 . The biggest common factor number is the GCF number.
So the greatest common factor 4,13,44,879 is 1.

Lets's calculate LCM of 59,70,188,390

2 59, 70, 188, 390
5 59, 35, 94, 195
59, 7, 94, 39

∴ So the LCM of the given numbers is 2 x 5 x 59 x 7 x 94 x 39 = 15140580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15140580

Therefore, the GCF of Fractions 4/59,13/70,44/188,879/390 is 1/15140580

Least Common Multiple of 59,70,188,390 with GCF Formula

Least Common Multiple of 59,70,188,390 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 59,70,188,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,70,188,390) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(59,70,188,390) x common factors =1 x 20 = 20

LCM(59,70,188,390) = ( 59 × 70 × 188 × 390 ) / 20

LCM(59,70,188,390) = 302811600 / 20

LCM(59,70,188,390) = 15140580


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 4/59, 13/70, 44/188, 879/390

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 4/59, 13/70, 44/188, 879/390?

Answer: GCF of Numerators as per given numbers 4/59, 13/70, 44/188, 879/390 is

GCF of Numerators i.e. for 4,13,44,879 is 1

LCM of denominators i.e. for 59,70,188,390 is 15140580.

Thus, GCF of Fractions is 1/15140580.Finally, GCF of Fractions for 4/59, 13/70, 44/188, 879/390 is 1/15140580.