Greatest Common Factor of 2127/84, 3233/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2127/84, 3233/213

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 2127/84,3233/213

Given fractions are 2127/84,3233/213

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 2127,3233

Greatest Common Factor of Numerators i.e. GCF of 2127,3233 is 1 .

LCM of Denominators means LCM of 84,213 as per the given fractions.

LCM of 84,213 is 5964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2127,3233

GCF of Fractions 2127/84,3233/213 is 1/5964

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

Greatest Common Factor of 2127,3233 By Matching Biggest Common Factor Method

Greatest Common Factor of 2127,3233 By Matching Biggest Common Factor Method

Factors of 2127

List of positive integer factors of 2127 that divides 2127 without a remainder.

1,3,709,2127

Factors of 3233

List of positive integer factors of 3233 that divides 3233 without a remainder.

1,53,61,3233

Greatest Common Factor

We found the factors 2127,3233 . The biggest common factor number is the GCF number.
So the greatest common factor 2127,3233 is 1.

Lets's calculate LCM of 84,213

3 84, 213
28, 71

∴ So the LCM of the given numbers is 3 x 28 x 71 = 5964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5964

Therefore, the GCF of Fractions 2127/84,3233/213 is 1/5964

Least Common Multiple of 84,213 with GCF Formula

Least Common Multiple of 84,213 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 84,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,213) = 3

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

GCF(84,213) x common factors =3 x 1 = 3

LCM(84,213) = ( 84 × 213 ) / 3

LCM(84,213) = 17892 / 3

LCM(84,213) = 5964


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 2127/84, 3233/213

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 2127/84, 3233/213?

Answer: GCF of Numerators as per given numbers 2127/84, 3233/213 is

GCF of Numerators i.e. for 2127,3233 is 1

LCM of denominators i.e. for 84,213 is 5964.

Thus, GCF of Fractions is 1/5964.Finally, GCF of Fractions for 2127/84, 3233/213 is 1/5964.