Greatest Common Factor of 1812/388, 6237/6140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1812/388, 6237/6140

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 1812/388,6237/6140

Given fractions are 1812/388,6237/6140

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 1812,6237

Greatest Common Factor of Numerators i.e. GCF of 1812,6237 is 3 .

LCM of Denominators means LCM of 388,6140 as per the given fractions.

LCM of 388,6140 is 595580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1812,6237

GCF of Fractions 1812/388,6237/6140 is 3/595580

3 1812, 6237
604, 2079

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

Greatest Common Factor of 1812,6237 By Matching Biggest Common Factor Method

Greatest Common Factor of 1812,6237 By Matching Biggest Common Factor Method

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

Factors of 6237

List of positive integer factors of 6237 that divides 6237 without a remainder.

1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237

Greatest Common Factor

We found the factors 1812,6237 . The biggest common factor number is the GCF number.
So the greatest common factor 1812,6237 is 3.

Lets's calculate LCM of 388,6140

2 388, 6140
2 194, 3070
97, 1535

∴ So the LCM of the given numbers is 2 x 2 x 97 x 1535 = 595580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/595580

Therefore, the GCF of Fractions 1812/388,6237/6140 is 3/595580

Least Common Multiple of 388,6140 with GCF Formula

Least Common Multiple of 388,6140 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 388,6140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,6140) = 4

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

GCF(388,6140) x common factors =4 x 1 = 4

LCM(388,6140) = ( 388 × 6140 ) / 4

LCM(388,6140) = 2382320 / 4

LCM(388,6140) = 595580


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 1812/388, 6237/6140

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 1812/388, 6237/6140?

Answer: GCF of Numerators as per given numbers 1812/388, 6237/6140 is

GCF of Numerators i.e. for 1812,6237 is 3

LCM of denominators i.e. for 388,6140 is 595580.

Thus, GCF of Fractions is 3/595580.Finally, GCF of Fractions for 1812/388, 6237/6140 is 3/595580.