GCD of 420, 594, 64, 132 Calculator

Given Input numbers are 420, 594, 64, 132

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 420, 594, 64, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 594, 64, 132 is 2.

Therefore, GCD of numbers 420, 594, 64, 132 is 2

Given Input Data is 420, 594, 64, 132

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 132 is 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(420, 594) = 41580

GCD(420, 594) = ( 420 x 594 ) / 41580

GCD(420, 594) = 249480 / 41580

GCD(420, 594) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 64

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 64) = 192

GCD(6, 64) = ( 6 x 64 ) / 192

GCD(6, 64) = 384 / 192

GCD(6, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 420, 594, 64, 132 is 2

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1. What is the GCD of 420, 594, 64, 132?

GCD of 420, 594, 64, 132 is 2

2. Where do I get the detailed procedure to find GCD of 420, 594, 64, 132?

You can find a detailed procedure to find GCD of 420, 594, 64, 132 on our page.

3. How to find GCD of 420, 594, 64, 132 on a calculator?

You can find the GCD of 420, 594, 64, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.