Greatest Common Factor of 564/402, 3286/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/402, 3286/596

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 564/402,3286/596

Given fractions are 564/402,3286/596

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 564,3286

Greatest Common Factor of Numerators i.e. GCF of 564,3286 is 2 .

LCM of Denominators means LCM of 402,596 as per the given fractions.

LCM of 402,596 is 119796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,3286

GCF of Fractions 564/402,3286/596 is 2/119796

2 564, 3286
282, 1643

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

Greatest Common Factor of 564,3286 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,3286 By Matching Biggest Common Factor Method

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 3286

List of positive integer factors of 3286 that divides 3286 without a remainder.

1,2,31,53,62,106,1643,3286

Greatest Common Factor

We found the factors 564,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 564,3286 is 2.

Lets's calculate LCM of 402,596

2 402, 596
201, 298

∴ So the LCM of the given numbers is 2 x 201 x 298 = 119796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119796

Therefore, the GCF of Fractions 564/402,3286/596 is 2/119796

Least Common Multiple of 402,596 with GCF Formula

Least Common Multiple of 402,596 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 402,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,596) = 2

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

GCF(402,596) x common factors =2 x 1 = 2

LCM(402,596) = ( 402 × 596 ) / 2

LCM(402,596) = 239592 / 2

LCM(402,596) = 119796


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 564/402, 3286/596

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 564/402, 3286/596?

Answer: GCF of Numerators as per given numbers 564/402, 3286/596 is

GCF of Numerators i.e. for 564,3286 is 2

LCM of denominators i.e. for 402,596 is 119796.

Thus, GCF of Fractions is 2/119796.Finally, GCF of Fractions for 564/402, 3286/596 is 2/119796.