Greatest Common Factor of 3974/93, 3721/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3974/93, 3721/213

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 3974/93,3721/213

Given fractions are 3974/93,3721/213

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 3974,3721

Greatest Common Factor of Numerators i.e. GCF of 3974,3721 is 1 .

LCM of Denominators means LCM of 93,213 as per the given fractions.

LCM of 93,213 is 6603 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3974,3721

GCF of Fractions 3974/93,3721/213 is 1/6603

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

Greatest Common Factor of 3974,3721 By Matching Biggest Common Factor Method

Greatest Common Factor of 3974,3721 By Matching Biggest Common Factor Method

Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1,2,1987,3974

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1,61,3721

Greatest Common Factor

We found the factors 3974,3721 . The biggest common factor number is the GCF number.
So the greatest common factor 3974,3721 is 1.

Lets's calculate LCM of 93,213

3 93, 213
31, 71

∴ So the LCM of the given numbers is 3 x 31 x 71 = 6603

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6603

Therefore, the GCF of Fractions 3974/93,3721/213 is 1/6603

Least Common Multiple of 93,213 with GCF Formula

Least Common Multiple of 93,213 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 93,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,213) = 3

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

GCF(93,213) x common factors =3 x 1 = 3

LCM(93,213) = ( 93 × 213 ) / 3

LCM(93,213) = 19809 / 3

LCM(93,213) = 6603


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 3974/93, 3721/213

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 3974/93, 3721/213?

Answer: GCF of Numerators as per given numbers 3974/93, 3721/213 is

GCF of Numerators i.e. for 3974,3721 is 1

LCM of denominators i.e. for 93,213 is 6603.

Thus, GCF of Fractions is 1/6603.Finally, GCF of Fractions for 3974/93, 3721/213 is 1/6603.