GCD of 684, 264, 455, 993 Calculator

Given Input numbers are 684, 264, 455, 993

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 684, 264, 455, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 264, 455, 993 is 1.

Therefore, GCD of numbers 684, 264, 455, 993 is 1

Given Input Data is 684, 264, 455, 993

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 993 is 3 x 331

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(684, 264) = 15048

GCD(684, 264) = ( 684 x 264 ) / 15048

GCD(684, 264) = 180576 / 15048

GCD(684, 264) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 455

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

LCM(12, 455) = 5460

GCD(12, 455) = ( 12 x 455 ) / 5460

GCD(12, 455) = 5460 / 5460

GCD(12, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 684, 264, 455, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 750, 844, 350
• GCD of 369, 915, 441, 247
• GCD of 339, 385, 801, 434
• GCD of 773, 334, 622, 275
• GCD of 448, 365, 792, 157

1. What is the GCD of 684, 264, 455, 993?

GCD of 684, 264, 455, 993 is 1

2. Where do I get the detailed procedure to find GCD of 684, 264, 455, 993?

You can find a detailed procedure to find GCD of 684, 264, 455, 993 on our page.

3. How to find GCD of 684, 264, 455, 993 on a calculator?

You can find the GCD of 684, 264, 455, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.