Greatest Common Factor of 3005/87, 6510/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3005/87, 6510/594

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 3005/87,6510/594

Given fractions are 3005/87,6510/594

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 3005,6510

Greatest Common Factor of Numerators i.e. GCF of 3005,6510 is 5 .

LCM of Denominators means LCM of 87,594 as per the given fractions.

LCM of 87,594 is 17226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3005,6510

GCF of Fractions 3005/87,6510/594 is 5/17226

5 3005, 6510
601, 1302

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3005,6510 By Matching Biggest Common Factor Method

Greatest Common Factor of 3005,6510 By Matching Biggest Common Factor Method

Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1,5,601,3005

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510

Greatest Common Factor

We found the factors 3005,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 3005,6510 is 5.

Lets's calculate LCM of 87,594

3 87, 594
29, 198

∴ So the LCM of the given numbers is 3 x 29 x 198 = 17226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17226

Therefore, the GCF of Fractions 3005/87,6510/594 is 5/17226

Least Common Multiple of 87,594 with GCF Formula

Least Common Multiple of 87,594 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 87,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,594) = 3

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

GCF(87,594) x common factors =3 x 1 = 3

LCM(87,594) = ( 87 × 594 ) / 3

LCM(87,594) = 51678 / 3

LCM(87,594) = 17226


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 3005/87, 6510/594

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 3005/87, 6510/594?

Answer: GCF of Numerators as per given numbers 3005/87, 6510/594 is

GCF of Numerators i.e. for 3005,6510 is 5

LCM of denominators i.e. for 87,594 is 17226.

Thus, GCF of Fractions is 5/17226.Finally, GCF of Fractions for 3005/87, 6510/594 is 5/17226.