GCD of 655, 756, 24, 460 Calculator

Given Input numbers are 655, 756, 24, 460

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 655, 756, 24, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 756, 24, 460 is 1.

Therefore, GCD of numbers 655, 756, 24, 460 is 1

Given Input Data is 655, 756, 24, 460

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(655, 756) = 495180

GCD(655, 756) = ( 655 x 756 ) / 495180

GCD(655, 756) = 495180 / 495180

GCD(655, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 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 655, 756, 24, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 534, 16, 426
• GCD of 498, 433, 57, 157
• GCD of 518, 273, 81, 592
• GCD of 120, 363, 65, 845
• GCD of 413, 114, 11, 176

1. What is the GCD of 655, 756, 24, 460?

GCD of 655, 756, 24, 460 is 1

2. Where do I get the detailed procedure to find GCD of 655, 756, 24, 460?

You can find a detailed procedure to find GCD of 655, 756, 24, 460 on our page.

3. How to find GCD of 655, 756, 24, 460 on a calculator?

You can find the GCD of 655, 756, 24, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.