Greatest Common Factor of 7334/185, 7940/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7334/185, 7940/331

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 7334/185,7940/331

Given fractions are 7334/185,7940/331

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 7334,7940

Greatest Common Factor of Numerators i.e. GCF of 7334,7940 is 2 .

LCM of Denominators means LCM of 185,331 as per the given fractions.

LCM of 185,331 is 61235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7334,7940

GCF of Fractions 7334/185,7940/331 is 2/61235

2 7334, 7940
3667, 3970

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7334,7940 By Matching Biggest Common Factor Method

Greatest Common Factor of 7334,7940 By Matching Biggest Common Factor Method

Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1,2,19,38,193,386,3667,7334

Factors of 7940

List of positive integer factors of 7940 that divides 7940 without a remainder.

1,2,4,5,10,20,397,794,1588,1985,3970,7940

Greatest Common Factor

We found the factors 7334,7940 . The biggest common factor number is the GCF number.
So the greatest common factor 7334,7940 is 2.

Lets's calculate LCM of 185,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 61235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61235

Therefore, the GCF of Fractions 7334/185,7940/331 is 2/61235

Least Common Multiple of 185,331 with GCF Formula

Least Common Multiple of 185,331 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 185,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,331) = 1

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

GCF(185,331) x common factors =1 x 1 = 1

LCM(185,331) = ( 185 × 331 ) / 1

LCM(185,331) = 61235 / 1

LCM(185,331) = 61235


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 7334/185, 7940/331

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 7334/185, 7940/331?

Answer: GCF of Numerators as per given numbers 7334/185, 7940/331 is

GCF of Numerators i.e. for 7334,7940 is 2

LCM of denominators i.e. for 185,331 is 61235.

Thus, GCF of Fractions is 2/61235.Finally, GCF of Fractions for 7334/185, 7940/331 is 2/61235.