GCD of 212, 509, 564, 960 Calculator

Given Input numbers are 212, 509, 564, 960

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 564

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 212, 509, 564, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 509, 564, 960 is 1.

Therefore, GCD of numbers 212, 509, 564, 960 is 1

Given Input Data is 212, 509, 564, 960

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 509 is 509

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(212, 509) = 107908

GCD(212, 509) = ( 212 x 509 ) / 107908

GCD(212, 509) = 107908 / 107908

GCD(212, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 212, 509, 564, 960 is 1

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1. What is the GCD of 212, 509, 564, 960?

GCD of 212, 509, 564, 960 is 1

2. Where do I get the detailed procedure to find GCD of 212, 509, 564, 960?

You can find a detailed procedure to find GCD of 212, 509, 564, 960 on our page.

3. How to find GCD of 212, 509, 564, 960 on a calculator?

You can find the GCD of 212, 509, 564, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.