Greatest Common Factor of 3606/404, 2211/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3606/404, 2211/105

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 3606/404,2211/105

Given fractions are 3606/404,2211/105

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 3606,2211

Greatest Common Factor of Numerators i.e. GCF of 3606,2211 is 3 .

LCM of Denominators means LCM of 404,105 as per the given fractions.

LCM of 404,105 is 42420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3606,2211

GCF of Fractions 3606/404,2211/105 is 3/42420

3 3606, 2211
1202, 737

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3606,2211 By Matching Biggest Common Factor Method

Greatest Common Factor of 3606,2211 By Matching Biggest Common Factor Method

Factors of 3606

List of positive integer factors of 3606 that divides 3606 without a remainder.

1,2,3,6,601,1202,1803,3606

Factors of 2211

List of positive integer factors of 2211 that divides 2211 without a remainder.

1,3,11,33,67,201,737,2211

Greatest Common Factor

We found the factors 3606,2211 . The biggest common factor number is the GCF number.
So the greatest common factor 3606,2211 is 3.

Lets's calculate LCM of 404,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 42420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42420

Therefore, the GCF of Fractions 3606/404,2211/105 is 3/42420

Least Common Multiple of 404,105 with GCF Formula

Least Common Multiple of 404,105 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 404,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,105) = 1

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

GCF(404,105) x common factors =1 x 1 = 1

LCM(404,105) = ( 404 × 105 ) / 1

LCM(404,105) = 42420 / 1

LCM(404,105) = 42420


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 3606/404, 2211/105

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 3606/404, 2211/105?

Answer: GCF of Numerators as per given numbers 3606/404, 2211/105 is

GCF of Numerators i.e. for 3606,2211 is 3

LCM of denominators i.e. for 404,105 is 42420.

Thus, GCF of Fractions is 3/42420.Finally, GCF of Fractions for 3606/404, 2211/105 is 3/42420.