Greatest Common Factor of 28/87, 698/24, 797/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/87, 698/24, 797/687

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 28/87,698/24,797/687

Given fractions are 28/87,698/24,797/687

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 28,698,797

Greatest Common Factor of Numerators i.e. GCF of 28,698,797 is 1 .

LCM of Denominators means LCM of 87,24,687 as per the given fractions.

LCM of 87,24,687 is 159384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,698,797

GCF of Fractions 28/87,698/24,797/687 is 1/159384

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

Greatest Common Factor of 28,698,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,698,797 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 28,698,797 . The biggest common factor number is the GCF number.
So the greatest common factor 28,698,797 is 1.

Lets's calculate LCM of 87,24,687

3 87, 24, 687
29, 8, 229

∴ So the LCM of the given numbers is 3 x 29 x 8 x 229 = 159384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159384

Therefore, the GCF of Fractions 28/87,698/24,797/687 is 1/159384

Least Common Multiple of 87,24,687 with GCF Formula

Least Common Multiple of 87,24,687 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 87,24,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,24,687) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,24,687) x common factors =3 x 3 = 9

LCM(87,24,687) = ( 87 × 24 × 687 ) / 9

LCM(87,24,687) = 1434456 / 9

LCM(87,24,687) = 159384


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 28/87, 698/24, 797/687

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 28/87, 698/24, 797/687?

Answer: GCF of Numerators as per given numbers 28/87, 698/24, 797/687 is

GCF of Numerators i.e. for 28,698,797 is 1

LCM of denominators i.e. for 87,24,687 is 159384.

Thus, GCF of Fractions is 1/159384.Finally, GCF of Fractions for 28/87, 698/24, 797/687 is 1/159384.