Greatest Common Factor of 15/723, 3840/7258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/723, 3840/7258

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 15/723,3840/7258

Given fractions are 15/723,3840/7258

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 15,3840

Greatest Common Factor of Numerators i.e. GCF of 15,3840 is 15 .

LCM of Denominators means LCM of 723,7258 as per the given fractions.

LCM of 723,7258 is 5247534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,3840

GCF of Fractions 15/723,3840/7258 is 15/5247534

3 15, 3840
5 5, 1280
1, 256

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 15,3840 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,3840 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 3840

List of positive integer factors of 3840 that divides 3840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840

Greatest Common Factor

We found the factors 15,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3840 is 15.

Lets's calculate LCM of 723,7258

Given numbers has no common factors except 1. So, there LCM is their product i.e 5247534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5247534

Therefore, the GCF of Fractions 15/723,3840/7258 is 15/5247534

Least Common Multiple of 723,7258 with GCF Formula

Least Common Multiple of 723,7258 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 723,7258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,7258) = 1

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

GCF(723,7258) x common factors =1 x 1 = 1

LCM(723,7258) = ( 723 × 7258 ) / 1

LCM(723,7258) = 5247534 / 1

LCM(723,7258) = 5247534


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 15/723, 3840/7258

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 15/723, 3840/7258?

Answer: GCF of Numerators as per given numbers 15/723, 3840/7258 is

GCF of Numerators i.e. for 15,3840 is 15

LCM of denominators i.e. for 723,7258 is 5247534.

Thus, GCF of Fractions is 15/5247534.Finally, GCF of Fractions for 15/723, 3840/7258 is 15/5247534.