Greatest Common Factor of 2340/222, 4761/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2340/222, 4761/817

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 2340/222,4761/817

Given fractions are 2340/222,4761/817

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 2340,4761

Greatest Common Factor of Numerators i.e. GCF of 2340,4761 is 9 .

LCM of Denominators means LCM of 222,817 as per the given fractions.

LCM of 222,817 is 181374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2340,4761

GCF of Fractions 2340/222,4761/817 is 9/181374

3 2340, 4761
3 780, 1587
260, 529

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2340,4761 By Matching Biggest Common Factor Method

Greatest Common Factor of 2340,4761 By Matching Biggest Common Factor Method

Factors of 2340

List of positive integer factors of 2340 that divides 2340 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340

Factors of 4761

List of positive integer factors of 4761 that divides 4761 without a remainder.

1,3,9,23,69,207,529,1587,4761

Greatest Common Factor

We found the factors 2340,4761 . The biggest common factor number is the GCF number.
So the greatest common factor 2340,4761 is 9.

Lets's calculate LCM of 222,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 181374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/181374

Therefore, the GCF of Fractions 2340/222,4761/817 is 9/181374

Least Common Multiple of 222,817 with GCF Formula

Least Common Multiple of 222,817 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 222,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,817) = 1

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

GCF(222,817) x common factors =1 x 1 = 1

LCM(222,817) = ( 222 × 817 ) / 1

LCM(222,817) = 181374 / 1

LCM(222,817) = 181374


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 2340/222, 4761/817

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 2340/222, 4761/817?

Answer: GCF of Numerators as per given numbers 2340/222, 4761/817 is

GCF of Numerators i.e. for 2340,4761 is 9

LCM of denominators i.e. for 222,817 is 181374.

Thus, GCF of Fractions is 9/181374.Finally, GCF of Fractions for 2340/222, 4761/817 is 9/181374.