Greatest Common Factor of 1374/343, 2238/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1374/343, 2238/220

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 1374/343,2238/220

Given fractions are 1374/343,2238/220

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 1374,2238

Greatest Common Factor of Numerators i.e. GCF of 1374,2238 is 6 .

LCM of Denominators means LCM of 343,220 as per the given fractions.

LCM of 343,220 is 75460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1374,2238

GCF of Fractions 1374/343,2238/220 is 6/75460

2 1374, 2238
3 687, 1119
229, 373

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1374,2238 By Matching Biggest Common Factor Method

Greatest Common Factor of 1374,2238 By Matching Biggest Common Factor Method

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1,2,3,6,229,458,687,1374

Factors of 2238

List of positive integer factors of 2238 that divides 2238 without a remainder.

1,2,3,6,373,746,1119,2238

Greatest Common Factor

We found the factors 1374,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 1374,2238 is 6.

Lets's calculate LCM of 343,220

Given numbers has no common factors except 1. So, there LCM is their product i.e 75460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/75460

Therefore, the GCF of Fractions 1374/343,2238/220 is 6/75460

Least Common Multiple of 343,220 with GCF Formula

Least Common Multiple of 343,220 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 343,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,220) = 1

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

GCF(343,220) x common factors =1 x 1 = 1

LCM(343,220) = ( 343 × 220 ) / 1

LCM(343,220) = 75460 / 1

LCM(343,220) = 75460


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 1374/343, 2238/220

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 1374/343, 2238/220?

Answer: GCF of Numerators as per given numbers 1374/343, 2238/220 is

GCF of Numerators i.e. for 1374,2238 is 6

LCM of denominators i.e. for 343,220 is 75460.

Thus, GCF of Fractions is 6/75460.Finally, GCF of Fractions for 1374/343, 2238/220 is 6/75460.