Greatest Common Factor of 235/43, 374/7301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 235/43, 374/7301

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 235/43,374/7301

Given fractions are 235/43,374/7301

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 235,374

Greatest Common Factor of Numerators i.e. GCF of 235,374 is 1 .

LCM of Denominators means LCM of 43,7301 as per the given fractions.

LCM of 43,7301 is 313943 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 235,374

GCF of Fractions 235/43,374/7301 is 1/313943

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

Greatest Common Factor of 235,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,374 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 235,374 . The biggest common factor number is the GCF number.
So the greatest common factor 235,374 is 1.

Lets's calculate LCM of 43,7301

Given numbers has no common factors except 1. So, there LCM is their product i.e 313943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313943

Therefore, the GCF of Fractions 235/43,374/7301 is 1/313943

Least Common Multiple of 43,7301 with GCF Formula

Least Common Multiple of 43,7301 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 43,7301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,7301) = 1

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

GCF(43,7301) x common factors =1 x 1 = 1

LCM(43,7301) = ( 43 × 7301 ) / 1

LCM(43,7301) = 313943 / 1

LCM(43,7301) = 313943


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 235/43, 374/7301

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 235/43, 374/7301?

Answer: GCF of Numerators as per given numbers 235/43, 374/7301 is

GCF of Numerators i.e. for 235,374 is 1

LCM of denominators i.e. for 43,7301 is 313943.

Thus, GCF of Fractions is 1/313943.Finally, GCF of Fractions for 235/43, 374/7301 is 1/313943.