Greatest Common Factor of 59/70, 137/75, 588/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/70, 137/75, 588/400

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 59/70,137/75,588/400

Given fractions are 59/70,137/75,588/400

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 59,137,588

Greatest Common Factor of Numerators i.e. GCF of 59,137,588 is 1 .

LCM of Denominators means LCM of 70,75,400 as per the given fractions.

LCM of 70,75,400 is 8400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,137,588

GCF of Fractions 59/70,137/75,588/400 is 1/8400

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

Greatest Common Factor of 59,137,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,137,588 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 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 59,137,588 . The biggest common factor number is the GCF number.
So the greatest common factor 59,137,588 is 1.

Lets's calculate LCM of 70,75,400

2 70, 75, 400
5 35, 75, 200
5 7, 15, 40
7, 3, 8

∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 3 x 8 = 8400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8400

Therefore, the GCF of Fractions 59/70,137/75,588/400 is 1/8400

Least Common Multiple of 70,75,400 with GCF Formula

Least Common Multiple of 70,75,400 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 70,75,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,75,400) = 5

common factors(in case of two or more numbers have common factors) = 50

GCF(70,75,400) x common factors =5 x 50 = 250

LCM(70,75,400) = ( 70 × 75 × 400 ) / 250

LCM(70,75,400) = 2100000 / 250

LCM(70,75,400) = 8400


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 59/70, 137/75, 588/400

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 59/70, 137/75, 588/400?

Answer: GCF of Numerators as per given numbers 59/70, 137/75, 588/400 is

GCF of Numerators i.e. for 59,137,588 is 1

LCM of denominators i.e. for 70,75,400 is 8400.

Thus, GCF of Fractions is 1/8400.Finally, GCF of Fractions for 59/70, 137/75, 588/400 is 1/8400.