Greatest Common Factor of 6216/912, 6940/1821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6216/912, 6940/1821

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 6216/912,6940/1821

Given fractions are 6216/912,6940/1821

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 6216,6940

Greatest Common Factor of Numerators i.e. GCF of 6216,6940 is 4 .

LCM of Denominators means LCM of 912,1821 as per the given fractions.

LCM of 912,1821 is 553584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6216,6940

GCF of Fractions 6216/912,6940/1821 is 4/553584

2 6216, 6940
2 3108, 3470
1554, 1735

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6216,6940 By Matching Biggest Common Factor Method

Greatest Common Factor of 6216,6940 By Matching Biggest Common Factor Method

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216

Factors of 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1,2,4,5,10,20,347,694,1388,1735,3470,6940

Greatest Common Factor

We found the factors 6216,6940 . The biggest common factor number is the GCF number.
So the greatest common factor 6216,6940 is 4.

Lets's calculate LCM of 912,1821

3 912, 1821
304, 607

∴ So the LCM of the given numbers is 3 x 304 x 607 = 553584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/553584

Therefore, the GCF of Fractions 6216/912,6940/1821 is 4/553584

Least Common Multiple of 912,1821 with GCF Formula

Least Common Multiple of 912,1821 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 912,1821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,1821) = 3

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

GCF(912,1821) x common factors =3 x 1 = 3

LCM(912,1821) = ( 912 × 1821 ) / 3

LCM(912,1821) = 1660752 / 3

LCM(912,1821) = 553584


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 6216/912, 6940/1821

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 6216/912, 6940/1821?

Answer: GCF of Numerators as per given numbers 6216/912, 6940/1821 is

GCF of Numerators i.e. for 6216,6940 is 4

LCM of denominators i.e. for 912,1821 is 553584.

Thus, GCF of Fractions is 4/553584.Finally, GCF of Fractions for 6216/912, 6940/1821 is 4/553584.