GCD of 456, 855, 691, 216 Calculator

Given Input numbers are 456, 855, 691, 216

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

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

Greatest Common Divisior

We found the divisors of 456, 855, 691, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 855, 691, 216 is 1.

Therefore, GCD of numbers 456, 855, 691, 216 is 1

Given Input Data is 456, 855, 691, 216

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 691 is 691

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

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(456, 855) = 6840

GCD(456, 855) = ( 456 x 855 ) / 6840

GCD(456, 855) = 389880 / 6840

GCD(456, 855) = 57

Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 691

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

LCM(57, 691) = 39387

GCD(57, 691) = ( 57 x 691 ) / 39387

GCD(57, 691) = 39387 / 39387

GCD(57, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 456, 855, 691, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 742, 689, 717
• GCD of 220, 105, 386, 472
• GCD of 573, 239, 518, 456
• GCD of 674, 765, 297, 716
• GCD of 829, 597, 342, 521

1. What is the GCD of 456, 855, 691, 216?

GCD of 456, 855, 691, 216 is 1

2. Where do I get the detailed procedure to find GCD of 456, 855, 691, 216?

You can find a detailed procedure to find GCD of 456, 855, 691, 216 on our page.

3. How to find GCD of 456, 855, 691, 216 on a calculator?

You can find the GCD of 456, 855, 691, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.