Greatest Common Factor of 918/23, 320/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 918/23, 320/643

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 918/23,320/643

Given fractions are 918/23,320/643

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 918,320

Greatest Common Factor of Numerators i.e. GCF of 918,320 is 2 .

LCM of Denominators means LCM of 23,643 as per the given fractions.

LCM of 23,643 is 14789 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 918,320

GCF of Fractions 918/23,320/643 is 2/14789

2 918, 320
459, 160

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 918,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,320 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 918,320 . The biggest common factor number is the GCF number.
So the greatest common factor 918,320 is 2.

Lets's calculate LCM of 23,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 14789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14789

Therefore, the GCF of Fractions 918/23,320/643 is 2/14789

Least Common Multiple of 23,643 with GCF Formula

Least Common Multiple of 23,643 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 23,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,643) = 1

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

GCF(23,643) x common factors =1 x 1 = 1

LCM(23,643) = ( 23 × 643 ) / 1

LCM(23,643) = 14789 / 1

LCM(23,643) = 14789


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 918/23, 320/643

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 918/23, 320/643?

Answer: GCF of Numerators as per given numbers 918/23, 320/643 is

GCF of Numerators i.e. for 918,320 is 2

LCM of denominators i.e. for 23,643 is 14789.

Thus, GCF of Fractions is 2/14789.Finally, GCF of Fractions for 918/23, 320/643 is 2/14789.