Greatest Common Factor of 804/398, 6753/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/398, 6753/422

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 804/398,6753/422

Given fractions are 804/398,6753/422

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 804,6753

Greatest Common Factor of Numerators i.e. GCF of 804,6753 is 3 .

LCM of Denominators means LCM of 398,422 as per the given fractions.

LCM of 398,422 is 83978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,6753

GCF of Fractions 804/398,6753/422 is 3/83978

3 804, 6753
268, 2251

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

Greatest Common Factor of 804,6753 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,6753 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 6753

List of positive integer factors of 6753 that divides 6753 without a remainder.

1,3,2251,6753

Greatest Common Factor

We found the factors 804,6753 . The biggest common factor number is the GCF number.
So the greatest common factor 804,6753 is 3.

Lets's calculate LCM of 398,422

2 398, 422
199, 211

∴ So the LCM of the given numbers is 2 x 199 x 211 = 83978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83978

Therefore, the GCF of Fractions 804/398,6753/422 is 3/83978

Least Common Multiple of 398,422 with GCF Formula

Least Common Multiple of 398,422 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 398,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,422) = 2

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

GCF(398,422) x common factors =2 x 1 = 2

LCM(398,422) = ( 398 × 422 ) / 2

LCM(398,422) = 167956 / 2

LCM(398,422) = 83978


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 804/398, 6753/422

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 804/398, 6753/422?

Answer: GCF of Numerators as per given numbers 804/398, 6753/422 is

GCF of Numerators i.e. for 804,6753 is 3

LCM of denominators i.e. for 398,422 is 83978.

Thus, GCF of Fractions is 3/83978.Finally, GCF of Fractions for 804/398, 6753/422 is 3/83978.