Greatest Common Factor of 6804/223, 1704/4255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6804/223, 1704/4255

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 6804/223,1704/4255

Given fractions are 6804/223,1704/4255

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 6804,1704

Greatest Common Factor of Numerators i.e. GCF of 6804,1704 is 12 .

LCM of Denominators means LCM of 223,4255 as per the given fractions.

LCM of 223,4255 is 948865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6804,1704

GCF of Fractions 6804/223,1704/4255 is 12/948865

2 6804, 1704
2 3402, 852
3 1701, 426
567, 142

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

Greatest Common Factor of 6804,1704 By Matching Biggest Common Factor Method

Greatest Common Factor of 6804,1704 By Matching Biggest Common Factor Method

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704

Greatest Common Factor

We found the factors 6804,1704 . The biggest common factor number is the GCF number.
So the greatest common factor 6804,1704 is 12.

Lets's calculate LCM of 223,4255

Given numbers has no common factors except 1. So, there LCM is their product i.e 948865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/948865

Therefore, the GCF of Fractions 6804/223,1704/4255 is 12/948865

Least Common Multiple of 223,4255 with GCF Formula

Least Common Multiple of 223,4255 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 223,4255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,4255) = 1

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

GCF(223,4255) x common factors =1 x 1 = 1

LCM(223,4255) = ( 223 × 4255 ) / 1

LCM(223,4255) = 948865 / 1

LCM(223,4255) = 948865


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 6804/223, 1704/4255

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 6804/223, 1704/4255?

Answer: GCF of Numerators as per given numbers 6804/223, 1704/4255 is

GCF of Numerators i.e. for 6804,1704 is 12

LCM of denominators i.e. for 223,4255 is 948865.

Thus, GCF of Fractions is 12/948865.Finally, GCF of Fractions for 6804/223, 1704/4255 is 12/948865.