GCD of 560, 663, 122, 578 Calculator

Given Input numbers are 560, 663, 122, 578

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 560, 663, 122, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 663, 122, 578 is 1.

Therefore, GCD of numbers 560, 663, 122, 578 is 1

Given Input Data is 560, 663, 122, 578

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 122 is 2 x 61

Prime Factorization of 578 is 2 x 17 x 17

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(560, 663) = 371280

GCD(560, 663) = ( 560 x 663 ) / 371280

GCD(560, 663) = 371280 / 371280

GCD(560, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 560, 663, 122, 578 is 1

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1. What is the GCD of 560, 663, 122, 578?

GCD of 560, 663, 122, 578 is 1

2. Where do I get the detailed procedure to find GCD of 560, 663, 122, 578?

You can find a detailed procedure to find GCD of 560, 663, 122, 578 on our page.

3. How to find GCD of 560, 663, 122, 578 on a calculator?

You can find the GCD of 560, 663, 122, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.