Greatest Common Factor of 9320/23, 3914/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9320/23, 3914/720

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 9320/23,3914/720

Given fractions are 9320/23,3914/720

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 9320,3914

Greatest Common Factor of Numerators i.e. GCF of 9320,3914 is 2 .

LCM of Denominators means LCM of 23,720 as per the given fractions.

LCM of 23,720 is 16560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9320,3914

GCF of Fractions 9320/23,3914/720 is 2/16560

2 9320, 3914
4660, 1957

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

Greatest Common Factor of 9320,3914 By Matching Biggest Common Factor Method

Greatest Common Factor of 9320,3914 By Matching Biggest Common Factor Method

Factors of 9320

List of positive integer factors of 9320 that divides 9320 without a remainder.

1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320

Factors of 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1,2,19,38,103,206,1957,3914

Greatest Common Factor

We found the factors 9320,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 9320,3914 is 2.

Lets's calculate LCM of 23,720

Given numbers has no common factors except 1. So, there LCM is their product i.e 16560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16560

Therefore, the GCF of Fractions 9320/23,3914/720 is 2/16560

Least Common Multiple of 23,720 with GCF Formula

Least Common Multiple of 23,720 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 23,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,720) = 1

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

GCF(23,720) x common factors =1 x 1 = 1

LCM(23,720) = ( 23 × 720 ) / 1

LCM(23,720) = 16560 / 1

LCM(23,720) = 16560


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 9320/23, 3914/720

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 9320/23, 3914/720?

Answer: GCF of Numerators as per given numbers 9320/23, 3914/720 is

GCF of Numerators i.e. for 9320,3914 is 2

LCM of denominators i.e. for 23,720 is 16560.

Thus, GCF of Fractions is 2/16560.Finally, GCF of Fractions for 9320/23, 3914/720 is 2/16560.