Greatest Common Factor of 143/345, 274/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/345, 274/234

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 143/345,274/234

Given fractions are 143/345,274/234

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 143,274

Greatest Common Factor of Numerators i.e. GCF of 143,274 is 1 .

LCM of Denominators means LCM of 345,234 as per the given fractions.

LCM of 345,234 is 26910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,274

GCF of Fractions 143/345,274/234 is 1/26910

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

Greatest Common Factor of 143,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,274 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 143,274 . The biggest common factor number is the GCF number.
So the greatest common factor 143,274 is 1.

Lets's calculate LCM of 345,234

3 345, 234
115, 78

∴ So the LCM of the given numbers is 3 x 115 x 78 = 26910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26910

Therefore, the GCF of Fractions 143/345,274/234 is 1/26910

Least Common Multiple of 345,234 with GCF Formula

Least Common Multiple of 345,234 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 345,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,234) = 3

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

GCF(345,234) x common factors =3 x 1 = 3

LCM(345,234) = ( 345 × 234 ) / 3

LCM(345,234) = 80730 / 3

LCM(345,234) = 26910


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 143/345, 274/234

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 143/345, 274/234?

Answer: GCF of Numerators as per given numbers 143/345, 274/234 is

GCF of Numerators i.e. for 143,274 is 1

LCM of denominators i.e. for 345,234 is 26910.

Thus, GCF of Fractions is 1/26910.Finally, GCF of Fractions for 143/345, 274/234 is 1/26910.