GCD of 49, 264, 586, 462 Calculator

Given Input numbers are 49, 264, 586, 462

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 49, 264, 586, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 264, 586, 462 is 1.

Therefore, GCD of numbers 49, 264, 586, 462 is 1

Given Input Data is 49, 264, 586, 462

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

Prime Factorization of 49 is 7 x 7

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(49, 264) = 12936

GCD(49, 264) = ( 49 x 264 ) / 12936

GCD(49, 264) = 12936 / 12936

GCD(49, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 49, 264, 586, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 437, 155, 506
• GCD of 93, 532, 111, 780
• GCD of 25, 393, 223, 981
• GCD of 40, 689, 560, 665
• GCD of 45, 591, 849, 605

1. What is the GCD of 49, 264, 586, 462?

GCD of 49, 264, 586, 462 is 1

2. Where do I get the detailed procedure to find GCD of 49, 264, 586, 462?

You can find a detailed procedure to find GCD of 49, 264, 586, 462 on our page.

3. How to find GCD of 49, 264, 586, 462 on a calculator?

You can find the GCD of 49, 264, 586, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.