Greatest Common Factor of 20/987, 52/667, 723/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/987, 52/667, 723/282

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 20/987,52/667,723/282

Given fractions are 20/987,52/667,723/282

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 20,52,723

Greatest Common Factor of Numerators i.e. GCF of 20,52,723 is 1 .

LCM of Denominators means LCM of 987,667,282 as per the given fractions.

LCM of 987,667,282 is 1316658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,52,723

GCF of Fractions 20/987,52/667,723/282 is 1/1316658

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

Greatest Common Factor of 20,52,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,52,723 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 20,52,723 . The biggest common factor number is the GCF number.
So the greatest common factor 20,52,723 is 1.

Lets's calculate LCM of 987,667,282

3 987, 667, 282
47 329, 667, 94
7, 667, 2

∴ So the LCM of the given numbers is 3 x 47 x 7 x 667 x 2 = 1316658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316658

Therefore, the GCF of Fractions 20/987,52/667,723/282 is 1/1316658

Least Common Multiple of 987,667,282 with GCF Formula

Least Common Multiple of 987,667,282 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 987,667,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,667,282) = 1

common factors(in case of two or more numbers have common factors) = 141

GCF(987,667,282) x common factors =1 x 141 = 141

LCM(987,667,282) = ( 987 × 667 × 282 ) / 141

LCM(987,667,282) = 185648778 / 141

LCM(987,667,282) = 1316658


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 20/987, 52/667, 723/282

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 20/987, 52/667, 723/282?

Answer: GCF of Numerators as per given numbers 20/987, 52/667, 723/282 is

GCF of Numerators i.e. for 20,52,723 is 1

LCM of denominators i.e. for 987,667,282 is 1316658.

Thus, GCF of Fractions is 1/1316658.Finally, GCF of Fractions for 20/987, 52/667, 723/282 is 1/1316658.