Greatest Common Factor of 2674/891, 7332/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2674/891, 7332/297

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 2674/891,7332/297

Given fractions are 2674/891,7332/297

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 2674,7332

Greatest Common Factor of Numerators i.e. GCF of 2674,7332 is 2 .

LCM of Denominators means LCM of 891,297 as per the given fractions.

LCM of 891,297 is 891 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2674,7332

GCF of Fractions 2674/891,7332/297 is 2/891

2 2674, 7332
1337, 3666

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2674,7332 By Matching Biggest Common Factor Method

Greatest Common Factor of 2674,7332 By Matching Biggest Common Factor Method

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1,2,7,14,191,382,1337,2674

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Greatest Common Factor

We found the factors 2674,7332 . The biggest common factor number is the GCF number.
So the greatest common factor 2674,7332 is 2.

Lets's calculate LCM of 891,297

3 891, 297
3 297, 99
3 33, 99
11 11, 33
1, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 1 x 3 = 891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/891

Therefore, the GCF of Fractions 2674/891,7332/297 is 2/891

Least Common Multiple of 891,297 with GCF Formula

Least Common Multiple of 891,297 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 891,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,297) = 297

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

GCF(891,297) x common factors =297 x 1 = 297

LCM(891,297) = ( 891 × 297 ) / 297

LCM(891,297) = 264627 / 297

LCM(891,297) = 891


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 2674/891, 7332/297

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 2674/891, 7332/297?

Answer: GCF of Numerators as per given numbers 2674/891, 7332/297 is

GCF of Numerators i.e. for 2674,7332 is 2

LCM of denominators i.e. for 891,297 is 891.

Thus, GCF of Fractions is 2/891.Finally, GCF of Fractions for 2674/891, 7332/297 is 2/891.