Greatest Common Factor of 6885/662, 3204/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6885/662, 3204/785

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 6885/662,3204/785

Given fractions are 6885/662,3204/785

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 6885,3204

Greatest Common Factor of Numerators i.e. GCF of 6885,3204 is 9 .

LCM of Denominators means LCM of 662,785 as per the given fractions.

LCM of 662,785 is 519670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6885,3204

GCF of Fractions 6885/662,3204/785 is 9/519670

3 6885, 3204
3 2295, 1068
765, 356

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6885,3204 By Matching Biggest Common Factor Method

Greatest Common Factor of 6885,3204 By Matching Biggest Common Factor Method

Factors of 6885

List of positive integer factors of 6885 that divides 6885 without a remainder.

1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885

Factors of 3204

List of positive integer factors of 3204 that divides 3204 without a remainder.

1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204

Greatest Common Factor

We found the factors 6885,3204 . The biggest common factor number is the GCF number.
So the greatest common factor 6885,3204 is 9.

Lets's calculate LCM of 662,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 519670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/519670

Therefore, the GCF of Fractions 6885/662,3204/785 is 9/519670

Least Common Multiple of 662,785 with GCF Formula

Least Common Multiple of 662,785 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 662,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,785) = 1

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

GCF(662,785) x common factors =1 x 1 = 1

LCM(662,785) = ( 662 × 785 ) / 1

LCM(662,785) = 519670 / 1

LCM(662,785) = 519670


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 6885/662, 3204/785

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 6885/662, 3204/785?

Answer: GCF of Numerators as per given numbers 6885/662, 3204/785 is

GCF of Numerators i.e. for 6885,3204 is 9

LCM of denominators i.e. for 662,785 is 519670.

Thus, GCF of Fractions is 9/519670.Finally, GCF of Fractions for 6885/662, 3204/785 is 9/519670.