Greatest Common Factor of 6973/912, 2397/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6973/912, 2397/212

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 6973/912,2397/212

Given fractions are 6973/912,2397/212

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 6973,2397

Greatest Common Factor of Numerators i.e. GCF of 6973,2397 is 1 .

LCM of Denominators means LCM of 912,212 as per the given fractions.

LCM of 912,212 is 48336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6973,2397

GCF of Fractions 6973/912,2397/212 is 1/48336

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6973,2397 By Matching Biggest Common Factor Method

Greatest Common Factor of 6973,2397 By Matching Biggest Common Factor Method

Factors of 6973

List of positive integer factors of 6973 that divides 6973 without a remainder.

1,19,367,6973

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1,3,17,47,51,141,799,2397

Greatest Common Factor

We found the factors 6973,2397 . The biggest common factor number is the GCF number.
So the greatest common factor 6973,2397 is 1.

Lets's calculate LCM of 912,212

2 912, 212
2 456, 106
228, 53

∴ So the LCM of the given numbers is 2 x 2 x 228 x 53 = 48336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48336

Therefore, the GCF of Fractions 6973/912,2397/212 is 1/48336

Least Common Multiple of 912,212 with GCF Formula

Least Common Multiple of 912,212 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 912,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,212) = 4

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

GCF(912,212) x common factors =4 x 1 = 4

LCM(912,212) = ( 912 × 212 ) / 4

LCM(912,212) = 193344 / 4

LCM(912,212) = 48336


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 6973/912, 2397/212

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 6973/912, 2397/212?

Answer: GCF of Numerators as per given numbers 6973/912, 2397/212 is

GCF of Numerators i.e. for 6973,2397 is 1

LCM of denominators i.e. for 912,212 is 48336.

Thus, GCF of Fractions is 1/48336.Finally, GCF of Fractions for 6973/912, 2397/212 is 1/48336.