Greatest Common Factor of 6897/674, 7983/6973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6897/674, 7983/6973

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 6897/674,7983/6973

Given fractions are 6897/674,7983/6973

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 6897,7983

Greatest Common Factor of Numerators i.e. GCF of 6897,7983 is 3 .

LCM of Denominators means LCM of 674,6973 as per the given fractions.

LCM of 674,6973 is 4699802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6897,7983

GCF of Fractions 6897/674,7983/6973 is 3/4699802

3 6897, 7983
2299, 2661

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

Greatest Common Factor of 6897,7983 By Matching Biggest Common Factor Method

Greatest Common Factor of 6897,7983 By Matching Biggest Common Factor Method

Factors of 6897

List of positive integer factors of 6897 that divides 6897 without a remainder.

1,3,11,19,33,57,121,209,363,627,2299,6897

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1,3,9,887,2661,7983

Greatest Common Factor

We found the factors 6897,7983 . The biggest common factor number is the GCF number.
So the greatest common factor 6897,7983 is 3.

Lets's calculate LCM of 674,6973

Given numbers has no common factors except 1. So, there LCM is their product i.e 4699802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4699802

Therefore, the GCF of Fractions 6897/674,7983/6973 is 3/4699802

Least Common Multiple of 674,6973 with GCF Formula

Least Common Multiple of 674,6973 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 674,6973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,6973) = 1

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

GCF(674,6973) x common factors =1 x 1 = 1

LCM(674,6973) = ( 674 × 6973 ) / 1

LCM(674,6973) = 4699802 / 1

LCM(674,6973) = 4699802


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 6897/674, 7983/6973

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 6897/674, 7983/6973?

Answer: GCF of Numerators as per given numbers 6897/674, 7983/6973 is

GCF of Numerators i.e. for 6897,7983 is 3

LCM of denominators i.e. for 674,6973 is 4699802.

Thus, GCF of Fractions is 3/4699802.Finally, GCF of Fractions for 6897/674, 7983/6973 is 3/4699802.