Greatest Common Factor of 687/39, 678/53, 624/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/39, 678/53, 624/69

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 687/39,678/53,624/69

Given fractions are 687/39,678/53,624/69

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 687,678,624

Greatest Common Factor of Numerators i.e. GCF of 687,678,624 is 3 .

LCM of Denominators means LCM of 39,53,69 as per the given fractions.

LCM of 39,53,69 is 47541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,678,624

GCF of Fractions 687/39,678/53,624/69 is 3/47541

3 687, 678, 624
229, 226, 208

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

Greatest Common Factor of 687,678,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,678,624 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 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 687,678,624 . The biggest common factor number is the GCF number.
So the greatest common factor 687,678,624 is 3.

Lets's calculate LCM of 39,53,69

3 39, 53, 69
13, 53, 23

∴ So the LCM of the given numbers is 3 x 13 x 53 x 23 = 47541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47541

Therefore, the GCF of Fractions 687/39,678/53,624/69 is 3/47541

Least Common Multiple of 39,53,69 with GCF Formula

Least Common Multiple of 39,53,69 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 39,53,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,53,69) = 1

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

GCF(39,53,69) x common factors =1 x 3 = 3

LCM(39,53,69) = ( 39 × 53 × 69 ) / 3

LCM(39,53,69) = 142623 / 3

LCM(39,53,69) = 47541


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 687/39, 678/53, 624/69

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 687/39, 678/53, 624/69?

Answer: GCF of Numerators as per given numbers 687/39, 678/53, 624/69 is

GCF of Numerators i.e. for 687,678,624 is 3

LCM of denominators i.e. for 39,53,69 is 47541.

Thus, GCF of Fractions is 3/47541.Finally, GCF of Fractions for 687/39, 678/53, 624/69 is 3/47541.