Greatest Common Factor of 1133/22, 3301/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1133/22, 3301/106

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 1133/22,3301/106

Given fractions are 1133/22,3301/106

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 1133,3301

Greatest Common Factor of Numerators i.e. GCF of 1133,3301 is 1 .

LCM of Denominators means LCM of 22,106 as per the given fractions.

LCM of 22,106 is 1166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1133,3301

GCF of Fractions 1133/22,3301/106 is 1/1166

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

Greatest Common Factor of 1133,3301 By Matching Biggest Common Factor Method

Greatest Common Factor of 1133,3301 By Matching Biggest Common Factor Method

Factors of 1133

List of positive integer factors of 1133 that divides 1133 without a remainder.

1,11,103,1133

Factors of 3301

List of positive integer factors of 3301 that divides 3301 without a remainder.

1,3301

Greatest Common Factor

We found the factors 1133,3301 . The biggest common factor number is the GCF number.
So the greatest common factor 1133,3301 is 1.

Lets's calculate LCM of 22,106

2 22, 106
11, 53

∴ So the LCM of the given numbers is 2 x 11 x 53 = 1166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1166

Therefore, the GCF of Fractions 1133/22,3301/106 is 1/1166

Least Common Multiple of 22,106 with GCF Formula

Least Common Multiple of 22,106 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 22,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,106) = 2

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

GCF(22,106) x common factors =2 x 1 = 2

LCM(22,106) = ( 22 × 106 ) / 2

LCM(22,106) = 2332 / 2

LCM(22,106) = 1166


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 1133/22, 3301/106

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 1133/22, 3301/106?

Answer: GCF of Numerators as per given numbers 1133/22, 3301/106 is

GCF of Numerators i.e. for 1133,3301 is 1

LCM of denominators i.e. for 22,106 is 1166.

Thus, GCF of Fractions is 1/1166.Finally, GCF of Fractions for 1133/22, 3301/106 is 1/1166.