Greatest Common Factor of 4133/82, 1612/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4133/82, 1612/226

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 4133/82,1612/226

Given fractions are 4133/82,1612/226

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 4133,1612

Greatest Common Factor of Numerators i.e. GCF of 4133,1612 is 1 .

LCM of Denominators means LCM of 82,226 as per the given fractions.

LCM of 82,226 is 9266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4133,1612

GCF of Fractions 4133/82,1612/226 is 1/9266

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

Greatest Common Factor of 4133,1612 By Matching Biggest Common Factor Method

Greatest Common Factor of 4133,1612 By Matching Biggest Common Factor Method

Factors of 4133

List of positive integer factors of 4133 that divides 4133 without a remainder.

1,4133

Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1,2,4,13,26,31,52,62,124,403,806,1612

Greatest Common Factor

We found the factors 4133,1612 . The biggest common factor number is the GCF number.
So the greatest common factor 4133,1612 is 1.

Lets's calculate LCM of 82,226

2 82, 226
41, 113

∴ So the LCM of the given numbers is 2 x 41 x 113 = 9266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9266

Therefore, the GCF of Fractions 4133/82,1612/226 is 1/9266

Least Common Multiple of 82,226 with GCF Formula

Least Common Multiple of 82,226 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 82,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,226) = 2

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

GCF(82,226) x common factors =2 x 1 = 2

LCM(82,226) = ( 82 × 226 ) / 2

LCM(82,226) = 18532 / 2

LCM(82,226) = 9266


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 4133/82, 1612/226

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 4133/82, 1612/226?

Answer: GCF of Numerators as per given numbers 4133/82, 1612/226 is

GCF of Numerators i.e. for 4133,1612 is 1

LCM of denominators i.e. for 82,226 is 9266.

Thus, GCF of Fractions is 1/9266.Finally, GCF of Fractions for 4133/82, 1612/226 is 1/9266.