Greatest Common Factor of 2673/224, 3663/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2673/224, 3663/874

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 2673/224,3663/874

Given fractions are 2673/224,3663/874

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 2673,3663

Greatest Common Factor of Numerators i.e. GCF of 2673,3663 is 99 .

LCM of Denominators means LCM of 224,874 as per the given fractions.

LCM of 224,874 is 97888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2673,3663

GCF of Fractions 2673/224,3663/874 is 99/97888

3 2673, 3663
3 891, 1221
11 297, 407
27, 37

∴ So the GCF of the given numbers is 3 x 3 x 11 = 99

Greatest Common Factor of 2673,3663 By Matching Biggest Common Factor Method

Greatest Common Factor of 2673,3663 By Matching Biggest Common Factor Method

Factors of 2673

List of positive integer factors of 2673 that divides 2673 without a remainder.

1,3,9,11,27,33,81,99,243,297,891,2673

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Greatest Common Factor

We found the factors 2673,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 2673,3663 is 99.

Lets's calculate LCM of 224,874

2 224, 874
112, 437

∴ So the LCM of the given numbers is 2 x 112 x 437 = 97888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/97888

Therefore, the GCF of Fractions 2673/224,3663/874 is 99/97888

Least Common Multiple of 224,874 with GCF Formula

Least Common Multiple of 224,874 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 224,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,874) = 2

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

GCF(224,874) x common factors =2 x 1 = 2

LCM(224,874) = ( 224 × 874 ) / 2

LCM(224,874) = 195776 / 2

LCM(224,874) = 97888


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 2673/224, 3663/874

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 2673/224, 3663/874?

Answer: GCF of Numerators as per given numbers 2673/224, 3663/874 is

GCF of Numerators i.e. for 2673,3663 is 99

LCM of denominators i.e. for 224,874 is 97888.

Thus, GCF of Fractions is 99/97888.Finally, GCF of Fractions for 2673/224, 3663/874 is 99/97888.