Greatest Common Factor of 3168/600, 1023/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3168/600, 1023/299

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 3168/600,1023/299

Given fractions are 3168/600,1023/299

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 3168,1023

Greatest Common Factor of Numerators i.e. GCF of 3168,1023 is 33 .

LCM of Denominators means LCM of 600,299 as per the given fractions.

LCM of 600,299 is 179400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3168,1023

GCF of Fractions 3168/600,1023/299 is 33/179400

3 3168, 1023
11 1056, 341
96, 31

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 3168,1023 By Matching Biggest Common Factor Method

Greatest Common Factor of 3168,1023 By Matching Biggest Common Factor Method

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168

Factors of 1023

List of positive integer factors of 1023 that divides 1023 without a remainder.

1,3,11,31,33,93,341,1023

Greatest Common Factor

We found the factors 3168,1023 . The biggest common factor number is the GCF number.
So the greatest common factor 3168,1023 is 33.

Lets's calculate LCM of 600,299

Given numbers has no common factors except 1. So, there LCM is their product i.e 179400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/179400

Therefore, the GCF of Fractions 3168/600,1023/299 is 33/179400

Least Common Multiple of 600,299 with GCF Formula

Least Common Multiple of 600,299 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 600,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,299) = 1

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

GCF(600,299) x common factors =1 x 1 = 1

LCM(600,299) = ( 600 × 299 ) / 1

LCM(600,299) = 179400 / 1

LCM(600,299) = 179400


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 3168/600, 1023/299

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 3168/600, 1023/299?

Answer: GCF of Numerators as per given numbers 3168/600, 1023/299 is

GCF of Numerators i.e. for 3168,1023 is 33

LCM of denominators i.e. for 600,299 is 179400.

Thus, GCF of Fractions is 33/179400.Finally, GCF of Fractions for 3168/600, 1023/299 is 33/179400.