Greatest Common Factor of 6280/733, 6584/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6280/733, 6584/309

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 6280/733,6584/309

Given fractions are 6280/733,6584/309

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 6280,6584

Greatest Common Factor of Numerators i.e. GCF of 6280,6584 is 8 .

LCM of Denominators means LCM of 733,309 as per the given fractions.

LCM of 733,309 is 226497 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6280,6584

GCF of Fractions 6280/733,6584/309 is 8/226497

2 6280, 6584
2 3140, 3292
2 1570, 1646
785, 823

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6280,6584 By Matching Biggest Common Factor Method

Greatest Common Factor of 6280,6584 By Matching Biggest Common Factor Method

Factors of 6280

List of positive integer factors of 6280 that divides 6280 without a remainder.

1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1,2,4,8,823,1646,3292,6584

Greatest Common Factor

We found the factors 6280,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 6280,6584 is 8.

Lets's calculate LCM of 733,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 226497

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/226497

Therefore, the GCF of Fractions 6280/733,6584/309 is 8/226497

Least Common Multiple of 733,309 with GCF Formula

Least Common Multiple of 733,309 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 733,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,309) = 1

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

GCF(733,309) x common factors =1 x 1 = 1

LCM(733,309) = ( 733 × 309 ) / 1

LCM(733,309) = 226497 / 1

LCM(733,309) = 226497


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 6280/733, 6584/309

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 6280/733, 6584/309?

Answer: GCF of Numerators as per given numbers 6280/733, 6584/309 is

GCF of Numerators i.e. for 6280,6584 is 8

LCM of denominators i.e. for 733,309 is 226497.

Thus, GCF of Fractions is 8/226497.Finally, GCF of Fractions for 6280/733, 6584/309 is 8/226497.