GCD of 456, 620, 61, 656 Calculator

Given Input numbers are 456, 620, 61, 656

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 61

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

1, 61

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 456, 620, 61, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 620, 61, 656 is 1.

Therefore, GCD of numbers 456, 620, 61, 656 is 1

Given Input Data is 456, 620, 61, 656

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 620 is 2 x 2 x 5 x 31

Prime Factorization of 61 is 61

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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, 620) = 70680

GCD(456, 620) = ( 456 x 620 ) / 70680

GCD(456, 620) = 282720 / 70680

GCD(456, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 61

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

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

GCD(4, 61) = 244 / 244

GCD(4, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 456, 620, 61, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 385, 89, 465
• GCD of 352, 532, 53, 949
• GCD of 677, 663, 88, 275
• GCD of 618, 110, 18, 704
• GCD of 935, 319, 27, 280

1. What is the GCD of 456, 620, 61, 656?

GCD of 456, 620, 61, 656 is 1

2. Where do I get the detailed procedure to find GCD of 456, 620, 61, 656?

You can find a detailed procedure to find GCD of 456, 620, 61, 656 on our page.

3. How to find GCD of 456, 620, 61, 656 on a calculator?

You can find the GCD of 456, 620, 61, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.