Greatest Common Factor of 687/861, 306/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/861, 306/633

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 687/861,306/633

Given fractions are 687/861,306/633

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 687,306

Greatest Common Factor of Numerators i.e. GCF of 687,306 is 3 .

LCM of Denominators means LCM of 861,633 as per the given fractions.

LCM of 861,633 is 181671 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,306

GCF of Fractions 687/861,306/633 is 3/181671

3 687, 306
229, 102

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 687,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,306 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 687,306 . The biggest common factor number is the GCF number.
So the greatest common factor 687,306 is 3.

Lets's calculate LCM of 861,633

3 861, 633
287, 211

∴ So the LCM of the given numbers is 3 x 287 x 211 = 181671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/181671

Therefore, the GCF of Fractions 687/861,306/633 is 3/181671

Least Common Multiple of 861,633 with GCF Formula

Least Common Multiple of 861,633 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 861,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,633) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(861,633) x common factors =3 x 1 = 3

LCM(861,633) = ( 861 × 633 ) / 3

LCM(861,633) = 545013 / 3

LCM(861,633) = 181671


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 687/861, 306/633

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 687/861, 306/633?

Answer: GCF of Numerators as per given numbers 687/861, 306/633 is

GCF of Numerators i.e. for 687,306 is 3

LCM of denominators i.e. for 861,633 is 181671.

Thus, GCF of Fractions is 3/181671.Finally, GCF of Fractions for 687/861, 306/633 is 3/181671.