Greatest Common Factor of 705/459, 5310/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 705/459, 5310/594

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 705/459,5310/594

Given fractions are 705/459,5310/594

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 705,5310

Greatest Common Factor of Numerators i.e. GCF of 705,5310 is 15 .

LCM of Denominators means LCM of 459,594 as per the given fractions.

LCM of 459,594 is 10098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 705,5310

GCF of Fractions 705/459,5310/594 is 15/10098

3 705, 5310
5 235, 1770
47, 354

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 705,5310 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,5310 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310

Greatest Common Factor

We found the factors 705,5310 . The biggest common factor number is the GCF number.
So the greatest common factor 705,5310 is 15.

Lets's calculate LCM of 459,594

3 459, 594
3 153, 198
3 51, 66
17, 22

∴ So the LCM of the given numbers is 3 x 3 x 3 x 17 x 22 = 10098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/10098

Therefore, the GCF of Fractions 705/459,5310/594 is 15/10098

Least Common Multiple of 459,594 with GCF Formula

Least Common Multiple of 459,594 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 459,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,594) = 27

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

GCF(459,594) x common factors =27 x 1 = 27

LCM(459,594) = ( 459 × 594 ) / 27

LCM(459,594) = 272646 / 27

LCM(459,594) = 10098


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 705/459, 5310/594

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 705/459, 5310/594?

Answer: GCF of Numerators as per given numbers 705/459, 5310/594 is

GCF of Numerators i.e. for 705,5310 is 15

LCM of denominators i.e. for 459,594 is 10098.

Thus, GCF of Fractions is 15/10098.Finally, GCF of Fractions for 705/459, 5310/594 is 15/10098.