GCD of 468, 101, 32, 210 Calculator

Given Input numbers are 468, 101, 32, 210

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 468, 101, 32, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 101, 32, 210 is 1.

Therefore, GCD of numbers 468, 101, 32, 210 is 1

Given Input Data is 468, 101, 32, 210

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 101 is 101

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(468, 101) = 47268

GCD(468, 101) = ( 468 x 101 ) / 47268

GCD(468, 101) = 47268 / 47268

GCD(468, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 468, 101, 32, 210 is 1

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1. What is the GCD of 468, 101, 32, 210?

GCD of 468, 101, 32, 210 is 1

2. Where do I get the detailed procedure to find GCD of 468, 101, 32, 210?

You can find a detailed procedure to find GCD of 468, 101, 32, 210 on our page.

3. How to find GCD of 468, 101, 32, 210 on a calculator?

You can find the GCD of 468, 101, 32, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.