Greatest Common Factor of 6389/85, 2319/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6389/85, 2319/644

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 6389/85,2319/644

Given fractions are 6389/85,2319/644

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 6389,2319

Greatest Common Factor of Numerators i.e. GCF of 6389,2319 is 1 .

LCM of Denominators means LCM of 85,644 as per the given fractions.

LCM of 85,644 is 54740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6389,2319

GCF of Fractions 6389/85,2319/644 is 1/54740

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

Greatest Common Factor of 6389,2319 By Matching Biggest Common Factor Method

Greatest Common Factor of 6389,2319 By Matching Biggest Common Factor Method

Factors of 6389

List of positive integer factors of 6389 that divides 6389 without a remainder.

1,6389

Factors of 2319

List of positive integer factors of 2319 that divides 2319 without a remainder.

1,3,773,2319

Greatest Common Factor

We found the factors 6389,2319 . The biggest common factor number is the GCF number.
So the greatest common factor 6389,2319 is 1.

Lets's calculate LCM of 85,644

Given numbers has no common factors except 1. So, there LCM is their product i.e 54740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54740

Therefore, the GCF of Fractions 6389/85,2319/644 is 1/54740

Least Common Multiple of 85,644 with GCF Formula

Least Common Multiple of 85,644 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 85,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,644) = 1

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

GCF(85,644) x common factors =1 x 1 = 1

LCM(85,644) = ( 85 × 644 ) / 1

LCM(85,644) = 54740 / 1

LCM(85,644) = 54740


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 6389/85, 2319/644

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 6389/85, 2319/644?

Answer: GCF of Numerators as per given numbers 6389/85, 2319/644 is

GCF of Numerators i.e. for 6389,2319 is 1

LCM of denominators i.e. for 85,644 is 54740.

Thus, GCF of Fractions is 1/54740.Finally, GCF of Fractions for 6389/85, 2319/644 is 1/54740.