Greatest Common Factor of 2193/146, 3230/5664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2193/146, 3230/5664

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 2193/146,3230/5664

Given fractions are 2193/146,3230/5664

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 2193,3230

Greatest Common Factor of Numerators i.e. GCF of 2193,3230 is 17 .

LCM of Denominators means LCM of 146,5664 as per the given fractions.

LCM of 146,5664 is 413472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2193,3230

GCF of Fractions 2193/146,3230/5664 is 17/413472

17 2193, 3230
129, 190

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 2193,3230 By Matching Biggest Common Factor Method

Greatest Common Factor of 2193,3230 By Matching Biggest Common Factor Method

Factors of 2193

List of positive integer factors of 2193 that divides 2193 without a remainder.

1,3,17,43,51,129,731,2193

Factors of 3230

List of positive integer factors of 3230 that divides 3230 without a remainder.

1,2,5,10,17,19,34,38,85,95,170,190,323,646,1615,3230

Greatest Common Factor

We found the factors 2193,3230 . The biggest common factor number is the GCF number.
So the greatest common factor 2193,3230 is 17.

Lets's calculate LCM of 146,5664

2 146, 5664
73, 2832

∴ So the LCM of the given numbers is 2 x 73 x 2832 = 413472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/413472

Therefore, the GCF of Fractions 2193/146,3230/5664 is 17/413472

Least Common Multiple of 146,5664 with GCF Formula

Least Common Multiple of 146,5664 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 146,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,5664) = 2

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

GCF(146,5664) x common factors =2 x 1 = 2

LCM(146,5664) = ( 146 × 5664 ) / 2

LCM(146,5664) = 826944 / 2

LCM(146,5664) = 413472


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 2193/146, 3230/5664

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 2193/146, 3230/5664?

Answer: GCF of Numerators as per given numbers 2193/146, 3230/5664 is

GCF of Numerators i.e. for 2193,3230 is 17

LCM of denominators i.e. for 146,5664 is 413472.

Thus, GCF of Fractions is 17/413472.Finally, GCF of Fractions for 2193/146, 3230/5664 is 17/413472.