Greatest Common Factor of 8384/742, 5723/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8384/742, 5723/505

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 8384/742,5723/505

Given fractions are 8384/742,5723/505

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 8384,5723

Greatest Common Factor of Numerators i.e. GCF of 8384,5723 is 1 .

LCM of Denominators means LCM of 742,505 as per the given fractions.

LCM of 742,505 is 374710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8384,5723

GCF of Fractions 8384/742,5723/505 is 1/374710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8384,5723 By Matching Biggest Common Factor Method

Greatest Common Factor of 8384,5723 By Matching Biggest Common Factor Method

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1,59,97,5723

Greatest Common Factor

We found the factors 8384,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 8384,5723 is 1.

Lets's calculate LCM of 742,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 374710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374710

Therefore, the GCF of Fractions 8384/742,5723/505 is 1/374710

Least Common Multiple of 742,505 with GCF Formula

Least Common Multiple of 742,505 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 742,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,505) = 1

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

GCF(742,505) x common factors =1 x 1 = 1

LCM(742,505) = ( 742 × 505 ) / 1

LCM(742,505) = 374710 / 1

LCM(742,505) = 374710


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 8384/742, 5723/505

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 8384/742, 5723/505?

Answer: GCF of Numerators as per given numbers 8384/742, 5723/505 is

GCF of Numerators i.e. for 8384,5723 is 1

LCM of denominators i.e. for 742,505 is 374710.

Thus, GCF of Fractions is 1/374710.Finally, GCF of Fractions for 8384/742, 5723/505 is 1/374710.