Greatest Common Factor of 5/26, 20/25, 84/526, 588/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/26, 20/25, 84/526, 588/772

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 5/26,20/25,84/526,588/772

Given fractions are 5/26,20/25,84/526,588/772

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 5,20,84,588

Greatest Common Factor of Numerators i.e. GCF of 5,20,84,588 is 1 .

LCM of Denominators means LCM of 26,25,526,772 as per the given fractions.

LCM of 26,25,526,772 is 65986700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,20,84,588

GCF of Fractions 5/26,20/25,84/526,588/772 is 1/65986700

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

Greatest Common Factor of 5,20,84,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,20,84,588 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 5,20,84,588 . The biggest common factor number is the GCF number.
So the greatest common factor 5,20,84,588 is 1.

Lets's calculate LCM of 26,25,526,772

2 26, 25, 526, 772
13, 25, 263, 386

∴ So the LCM of the given numbers is 2 x 13 x 25 x 263 x 386 = 65986700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65986700

Therefore, the GCF of Fractions 5/26,20/25,84/526,588/772 is 1/65986700

Least Common Multiple of 26,25,526,772 with GCF Formula

Least Common Multiple of 26,25,526,772 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 26,25,526,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,25,526,772) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(26,25,526,772) x common factors =1 x 4 = 4

LCM(26,25,526,772) = ( 26 × 25 × 526 × 772 ) / 4

LCM(26,25,526,772) = 263946800 / 4

LCM(26,25,526,772) = 65986700


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 5/26, 20/25, 84/526, 588/772

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 5/26, 20/25, 84/526, 588/772?

Answer: GCF of Numerators as per given numbers 5/26, 20/25, 84/526, 588/772 is

GCF of Numerators i.e. for 5,20,84,588 is 1

LCM of denominators i.e. for 26,25,526,772 is 65986700.

Thus, GCF of Fractions is 1/65986700.Finally, GCF of Fractions for 5/26, 20/25, 84/526, 588/772 is 1/65986700.