Greatest Common Factor of 6852/855, 4188/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6852/855, 4188/665

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 6852/855,4188/665

Given fractions are 6852/855,4188/665

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 6852,4188

Greatest Common Factor of Numerators i.e. GCF of 6852,4188 is 12 .

LCM of Denominators means LCM of 855,665 as per the given fractions.

LCM of 855,665 is 5985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6852,4188

GCF of Fractions 6852/855,4188/665 is 12/5985

2 6852, 4188
2 3426, 2094
3 1713, 1047
571, 349

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6852,4188 By Matching Biggest Common Factor Method

Greatest Common Factor of 6852,4188 By Matching Biggest Common Factor Method

Factors of 6852

List of positive integer factors of 6852 that divides 6852 without a remainder.

1,2,3,4,6,12,571,1142,1713,2284,3426,6852

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1,2,3,4,6,12,349,698,1047,1396,2094,4188

Greatest Common Factor

We found the factors 6852,4188 . The biggest common factor number is the GCF number.
So the greatest common factor 6852,4188 is 12.

Lets's calculate LCM of 855,665

5 855, 665
19 171, 133
9, 7

∴ So the LCM of the given numbers is 5 x 19 x 9 x 7 = 5985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5985

Therefore, the GCF of Fractions 6852/855,4188/665 is 12/5985

Least Common Multiple of 855,665 with GCF Formula

Least Common Multiple of 855,665 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 855,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,665) = 95

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

GCF(855,665) x common factors =95 x 1 = 95

LCM(855,665) = ( 855 × 665 ) / 95

LCM(855,665) = 568575 / 95

LCM(855,665) = 5985


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 6852/855, 4188/665

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 6852/855, 4188/665?

Answer: GCF of Numerators as per given numbers 6852/855, 4188/665 is

GCF of Numerators i.e. for 6852,4188 is 12

LCM of denominators i.e. for 855,665 is 5985.

Thus, GCF of Fractions is 12/5985.Finally, GCF of Fractions for 6852/855, 4188/665 is 12/5985.