Greatest Common Factor of 603/104, 564/675, 864/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 603/104, 564/675, 864/460

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 603/104,564/675,864/460

Given fractions are 603/104,564/675,864/460

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 603,564,864

Greatest Common Factor of Numerators i.e. GCF of 603,564,864 is 3 .

LCM of Denominators means LCM of 104,675,460 as per the given fractions.

LCM of 104,675,460 is 1614600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 603,564,864

GCF of Fractions 603/104,564/675,864/460 is 3/1614600

3 603, 564, 864
201, 188, 288

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

Greatest Common Factor of 603,564,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,564,864 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 603,564,864 . The biggest common factor number is the GCF number.
So the greatest common factor 603,564,864 is 3.

Lets's calculate LCM of 104,675,460

2 104, 675, 460
2 52, 675, 230
5 26, 675, 115
26, 135, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 26 x 135 x 23 = 1614600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1614600

Therefore, the GCF of Fractions 603/104,564/675,864/460 is 3/1614600

Least Common Multiple of 104,675,460 with GCF Formula

Least Common Multiple of 104,675,460 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 104,675,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,675,460) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(104,675,460) x common factors =1 x 20 = 20

LCM(104,675,460) = ( 104 × 675 × 460 ) / 20

LCM(104,675,460) = 32292000 / 20

LCM(104,675,460) = 1614600


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 603/104, 564/675, 864/460

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 603/104, 564/675, 864/460?

Answer: GCF of Numerators as per given numbers 603/104, 564/675, 864/460 is

GCF of Numerators i.e. for 603,564,864 is 3

LCM of denominators i.e. for 104,675,460 is 1614600.

Thus, GCF of Fractions is 3/1614600.Finally, GCF of Fractions for 603/104, 564/675, 864/460 is 3/1614600.