Greatest Common Factor of 2251/183, 3400/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2251/183, 3400/213

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 2251/183,3400/213

Given fractions are 2251/183,3400/213

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 2251,3400

Greatest Common Factor of Numerators i.e. GCF of 2251,3400 is 1 .

LCM of Denominators means LCM of 183,213 as per the given fractions.

LCM of 183,213 is 12993 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2251,3400

GCF of Fractions 2251/183,3400/213 is 1/12993

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

Greatest Common Factor of 2251,3400 By Matching Biggest Common Factor Method

Greatest Common Factor of 2251,3400 By Matching Biggest Common Factor Method

Factors of 2251

List of positive integer factors of 2251 that divides 2251 without a remainder.

1,2251

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Greatest Common Factor

We found the factors 2251,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 2251,3400 is 1.

Lets's calculate LCM of 183,213

3 183, 213
61, 71

∴ So the LCM of the given numbers is 3 x 61 x 71 = 12993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12993

Therefore, the GCF of Fractions 2251/183,3400/213 is 1/12993

Least Common Multiple of 183,213 with GCF Formula

Least Common Multiple of 183,213 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 183,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,213) = 3

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

GCF(183,213) x common factors =3 x 1 = 3

LCM(183,213) = ( 183 × 213 ) / 3

LCM(183,213) = 38979 / 3

LCM(183,213) = 12993


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 2251/183, 3400/213

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 2251/183, 3400/213?

Answer: GCF of Numerators as per given numbers 2251/183, 3400/213 is

GCF of Numerators i.e. for 2251,3400 is 1

LCM of denominators i.e. for 183,213 is 12993.

Thus, GCF of Fractions is 1/12993.Finally, GCF of Fractions for 2251/183, 3400/213 is 1/12993.