Greatest Common Factor of 4995/78, 6747/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4995/78, 6747/219

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 4995/78,6747/219

Given fractions are 4995/78,6747/219

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 4995,6747

Greatest Common Factor of Numerators i.e. GCF of 4995,6747 is 3 .

LCM of Denominators means LCM of 78,219 as per the given fractions.

LCM of 78,219 is 5694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4995,6747

GCF of Fractions 4995/78,6747/219 is 3/5694

3 4995, 6747
1665, 2249

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

Greatest Common Factor of 4995,6747 By Matching Biggest Common Factor Method

Greatest Common Factor of 4995,6747 By Matching Biggest Common Factor Method

Factors of 4995

List of positive integer factors of 4995 that divides 4995 without a remainder.

1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995

Factors of 6747

List of positive integer factors of 6747 that divides 6747 without a remainder.

1,3,13,39,173,519,2249,6747

Greatest Common Factor

We found the factors 4995,6747 . The biggest common factor number is the GCF number.
So the greatest common factor 4995,6747 is 3.

Lets's calculate LCM of 78,219

3 78, 219
26, 73

∴ So the LCM of the given numbers is 3 x 26 x 73 = 5694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5694

Therefore, the GCF of Fractions 4995/78,6747/219 is 3/5694

Least Common Multiple of 78,219 with GCF Formula

Least Common Multiple of 78,219 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 78,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,219) = 3

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

GCF(78,219) x common factors =3 x 1 = 3

LCM(78,219) = ( 78 × 219 ) / 3

LCM(78,219) = 17082 / 3

LCM(78,219) = 5694


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 4995/78, 6747/219

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 4995/78, 6747/219?

Answer: GCF of Numerators as per given numbers 4995/78, 6747/219 is

GCF of Numerators i.e. for 4995,6747 is 3

LCM of denominators i.e. for 78,219 is 5694.

Thus, GCF of Fractions is 3/5694.Finally, GCF of Fractions for 4995/78, 6747/219 is 3/5694.