Greatest Common Factor of 4374/212, 4338/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4374/212, 4338/110

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 4374/212,4338/110

Given fractions are 4374/212,4338/110

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 4374,4338

Greatest Common Factor of Numerators i.e. GCF of 4374,4338 is 18 .

LCM of Denominators means LCM of 212,110 as per the given fractions.

LCM of 212,110 is 11660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4374,4338

GCF of Fractions 4374/212,4338/110 is 18/11660

2 4374, 4338
3 2187, 2169
3 729, 723
243, 241

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 4374,4338 By Matching Biggest Common Factor Method

Greatest Common Factor of 4374,4338 By Matching Biggest Common Factor Method

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Factors of 4338

List of positive integer factors of 4338 that divides 4338 without a remainder.

1,2,3,6,9,18,241,482,723,1446,2169,4338

Greatest Common Factor

We found the factors 4374,4338 . The biggest common factor number is the GCF number.
So the greatest common factor 4374,4338 is 18.

Lets's calculate LCM of 212,110

2 212, 110
106, 55

∴ So the LCM of the given numbers is 2 x 106 x 55 = 11660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/11660

Therefore, the GCF of Fractions 4374/212,4338/110 is 18/11660

Least Common Multiple of 212,110 with GCF Formula

Least Common Multiple of 212,110 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 212,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,110) = 2

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

GCF(212,110) x common factors =2 x 1 = 2

LCM(212,110) = ( 212 × 110 ) / 2

LCM(212,110) = 23320 / 2

LCM(212,110) = 11660


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 4374/212, 4338/110

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 4374/212, 4338/110?

Answer: GCF of Numerators as per given numbers 4374/212, 4338/110 is

GCF of Numerators i.e. for 4374,4338 is 18

LCM of denominators i.e. for 212,110 is 11660.

Thus, GCF of Fractions is 18/11660.Finally, GCF of Fractions for 4374/212, 4338/110 is 18/11660.