Greatest Common Factor of 238/146, 129/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/146, 129/374

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 238/146,129/374

Given fractions are 238/146,129/374

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 238,129

Greatest Common Factor of Numerators i.e. GCF of 238,129 is 1 .

LCM of Denominators means LCM of 146,374 as per the given fractions.

LCM of 146,374 is 27302 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,129

GCF of Fractions 238/146,129/374 is 1/27302

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

Greatest Common Factor of 238,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,129 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 238,129 . The biggest common factor number is the GCF number.
So the greatest common factor 238,129 is 1.

Lets's calculate LCM of 146,374

2 146, 374
73, 187

∴ So the LCM of the given numbers is 2 x 73 x 187 = 27302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27302

Therefore, the GCF of Fractions 238/146,129/374 is 1/27302

Least Common Multiple of 146,374 with GCF Formula

Least Common Multiple of 146,374 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 146,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,374) = 2

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

GCF(146,374) x common factors =2 x 1 = 2

LCM(146,374) = ( 146 × 374 ) / 2

LCM(146,374) = 54604 / 2

LCM(146,374) = 27302


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 238/146, 129/374

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 238/146, 129/374?

Answer: GCF of Numerators as per given numbers 238/146, 129/374 is

GCF of Numerators i.e. for 238,129 is 1

LCM of denominators i.e. for 146,374 is 27302.

Thus, GCF of Fractions is 1/27302.Finally, GCF of Fractions for 238/146, 129/374 is 1/27302.