Greatest Common Factor of 2343/24, 6300/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2343/24, 6300/181

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 2343/24,6300/181

Given fractions are 2343/24,6300/181

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 2343,6300

Greatest Common Factor of Numerators i.e. GCF of 2343,6300 is 3 .

LCM of Denominators means LCM of 24,181 as per the given fractions.

LCM of 24,181 is 4344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2343,6300

GCF of Fractions 2343/24,6300/181 is 3/4344

3 2343, 6300
781, 2100

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2343,6300 By Matching Biggest Common Factor Method

Greatest Common Factor of 2343,6300 By Matching Biggest Common Factor Method

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1,3,11,33,71,213,781,2343

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Greatest Common Factor

We found the factors 2343,6300 . The biggest common factor number is the GCF number.
So the greatest common factor 2343,6300 is 3.

Lets's calculate LCM of 24,181

Given numbers has no common factors except 1. So, there LCM is their product i.e 4344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4344

Therefore, the GCF of Fractions 2343/24,6300/181 is 3/4344

Least Common Multiple of 24,181 with GCF Formula

Least Common Multiple of 24,181 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 24,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,181) = 1

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

GCF(24,181) x common factors =1 x 1 = 1

LCM(24,181) = ( 24 × 181 ) / 1

LCM(24,181) = 4344 / 1

LCM(24,181) = 4344


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 2343/24, 6300/181

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 2343/24, 6300/181?

Answer: GCF of Numerators as per given numbers 2343/24, 6300/181 is

GCF of Numerators i.e. for 2343,6300 is 3

LCM of denominators i.e. for 24,181 is 4344.

Thus, GCF of Fractions is 3/4344.Finally, GCF of Fractions for 2343/24, 6300/181 is 3/4344.