Greatest Common Factor of 6501/628, 9987/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6501/628, 9987/584

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 6501/628,9987/584

Given fractions are 6501/628,9987/584

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 6501,9987

Greatest Common Factor of Numerators i.e. GCF of 6501,9987 is 3 .

LCM of Denominators means LCM of 628,584 as per the given fractions.

LCM of 628,584 is 91688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6501,9987

GCF of Fractions 6501/628,9987/584 is 3/91688

3 6501, 9987
2167, 3329

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6501,9987 By Matching Biggest Common Factor Method

Greatest Common Factor of 6501,9987 By Matching Biggest Common Factor Method

Factors of 6501

List of positive integer factors of 6501 that divides 6501 without a remainder.

1,3,11,33,197,591,2167,6501

Factors of 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1,3,3329,9987

Greatest Common Factor

We found the factors 6501,9987 . The biggest common factor number is the GCF number.
So the greatest common factor 6501,9987 is 3.

Lets's calculate LCM of 628,584

2 628, 584
2 314, 292
157, 146

∴ So the LCM of the given numbers is 2 x 2 x 157 x 146 = 91688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91688

Therefore, the GCF of Fractions 6501/628,9987/584 is 3/91688

Least Common Multiple of 628,584 with GCF Formula

Least Common Multiple of 628,584 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 628,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,584) = 4

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

GCF(628,584) x common factors =4 x 1 = 4

LCM(628,584) = ( 628 × 584 ) / 4

LCM(628,584) = 366752 / 4

LCM(628,584) = 91688


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 6501/628, 9987/584

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 6501/628, 9987/584?

Answer: GCF of Numerators as per given numbers 6501/628, 9987/584 is

GCF of Numerators i.e. for 6501,9987 is 3

LCM of denominators i.e. for 628,584 is 91688.

Thus, GCF of Fractions is 3/91688.Finally, GCF of Fractions for 6501/628, 9987/584 is 3/91688.