GCD of 396, 440, 61, 460 Calculator

Given Input numbers are 396, 440, 61, 460

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 396, 440, 61, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 440, 61, 460 is 1.

Therefore, GCD of numbers 396, 440, 61, 460 is 1

Given Input Data is 396, 440, 61, 460

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 61 is 61

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(396, 440) = 3960

GCD(396, 440) = ( 396 x 440 ) / 3960

GCD(396, 440) = 174240 / 3960

GCD(396, 440) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 61

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

LCM(44, 61) = 2684

GCD(44, 61) = ( 44 x 61 ) / 2684

GCD(44, 61) = 2684 / 2684

GCD(44, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 396, 440, 61, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 623, 48, 799
• GCD of 101, 266, 19, 638
• GCD of 127, 917, 45, 939
• GCD of 774, 616, 25, 493
• GCD of 566, 322, 90, 571

1. What is the GCD of 396, 440, 61, 460?

GCD of 396, 440, 61, 460 is 1

2. Where do I get the detailed procedure to find GCD of 396, 440, 61, 460?

You can find a detailed procedure to find GCD of 396, 440, 61, 460 on our page.

3. How to find GCD of 396, 440, 61, 460 on a calculator?

You can find the GCD of 396, 440, 61, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.