Greatest Common Factor of 3974/33, 8351/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3974/33, 8351/362

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 3974/33,8351/362

Given fractions are 3974/33,8351/362

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 3974,8351

Greatest Common Factor of Numerators i.e. GCF of 3974,8351 is 1 .

LCM of Denominators means LCM of 33,362 as per the given fractions.

LCM of 33,362 is 11946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3974,8351

GCF of Fractions 3974/33,8351/362 is 1/11946

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

Greatest Common Factor of 3974,8351 By Matching Biggest Common Factor Method

Greatest Common Factor of 3974,8351 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 8351

List of positive integer factors of 8351 that divides 8351 without a remainder.

1,7,1193,8351

Greatest Common Factor

We found the factors 3974,8351 . The biggest common factor number is the GCF number.
So the greatest common factor 3974,8351 is 1.

Lets's calculate LCM of 33,362

Given numbers has no common factors except 1. So, there LCM is their product i.e 11946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11946

Therefore, the GCF of Fractions 3974/33,8351/362 is 1/11946

Least Common Multiple of 33,362 with GCF Formula

Least Common Multiple of 33,362 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 33,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,362) = 1

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

GCF(33,362) x common factors =1 x 1 = 1

LCM(33,362) = ( 33 × 362 ) / 1

LCM(33,362) = 11946 / 1

LCM(33,362) = 11946


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 3974/33, 8351/362

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 3974/33, 8351/362?

Answer: GCF of Numerators as per given numbers 3974/33, 8351/362 is

GCF of Numerators i.e. for 3974,8351 is 1

LCM of denominators i.e. for 33,362 is 11946.

Thus, GCF of Fractions is 1/11946.Finally, GCF of Fractions for 3974/33, 8351/362 is 1/11946.