Greatest Common Factor of 3322/83, 3706/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3322/83, 3706/459

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 3322/83,3706/459

Given fractions are 3322/83,3706/459

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 3322,3706

Greatest Common Factor of Numerators i.e. GCF of 3322,3706 is 2 .

LCM of Denominators means LCM of 83,459 as per the given fractions.

LCM of 83,459 is 38097 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3322,3706

GCF of Fractions 3322/83,3706/459 is 2/38097

2 3322, 3706
1661, 1853

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

Greatest Common Factor of 3322,3706 By Matching Biggest Common Factor Method

Greatest Common Factor of 3322,3706 By Matching Biggest Common Factor Method

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1,2,11,22,151,302,1661,3322

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1,2,17,34,109,218,1853,3706

Greatest Common Factor

We found the factors 3322,3706 . The biggest common factor number is the GCF number.
So the greatest common factor 3322,3706 is 2.

Lets's calculate LCM of 83,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 38097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38097

Therefore, the GCF of Fractions 3322/83,3706/459 is 2/38097

Least Common Multiple of 83,459 with GCF Formula

Least Common Multiple of 83,459 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 83,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,459) = 1

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

GCF(83,459) x common factors =1 x 1 = 1

LCM(83,459) = ( 83 × 459 ) / 1

LCM(83,459) = 38097 / 1

LCM(83,459) = 38097


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 3322/83, 3706/459

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 3322/83, 3706/459?

Answer: GCF of Numerators as per given numbers 3322/83, 3706/459 is

GCF of Numerators i.e. for 3322,3706 is 2

LCM of denominators i.e. for 83,459 is 38097.

Thus, GCF of Fractions is 2/38097.Finally, GCF of Fractions for 3322/83, 3706/459 is 2/38097.