GCD of 216, 210, 64, 497 Calculator

Given Input numbers are 216, 210, 64, 497

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 216, 210, 64, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 210, 64, 497 is 1.

Therefore, GCD of numbers 216, 210, 64, 497 is 1

Given Input Data is 216, 210, 64, 497

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

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

Prime Factorization of 497 is 7 x 71

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(216, 210) = 7560

GCD(216, 210) = ( 216 x 210 ) / 7560

GCD(216, 210) = 45360 / 7560

GCD(216, 210) = 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 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

GCD of 216, 210, 64, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 522, 82, 229
• GCD of 756, 324, 72, 700
• GCD of 977, 644, 19, 473
• GCD of 480, 965, 49, 217
• GCD of 407, 244, 24, 917

1. What is the GCD of 216, 210, 64, 497?

GCD of 216, 210, 64, 497 is 1

2. Where do I get the detailed procedure to find GCD of 216, 210, 64, 497?

You can find a detailed procedure to find GCD of 216, 210, 64, 497 on our page.

3. How to find GCD of 216, 210, 64, 497 on a calculator?

You can find the GCD of 216, 210, 64, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.