GCD of 407, 970, 580, 561 Calculator

Given Input numbers are 407, 970, 580, 561

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 407, 970, 580, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 970, 580, 561 is 1.

Therefore, GCD of numbers 407, 970, 580, 561 is 1

Given Input Data is 407, 970, 580, 561

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 561 is 3 x 11 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(407, 970) = 394790

GCD(407, 970) = ( 407 x 970 ) / 394790

GCD(407, 970) = 394790 / 394790

GCD(407, 970) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 407, 970, 580, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 432, 468, 669
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• GCD of 681, 202, 147, 684
• GCD of 485, 623, 218, 329
• GCD of 766, 527, 344, 575

1. What is the GCD of 407, 970, 580, 561?

GCD of 407, 970, 580, 561 is 1

2. Where do I get the detailed procedure to find GCD of 407, 970, 580, 561?

You can find a detailed procedure to find GCD of 407, 970, 580, 561 on our page.

3. How to find GCD of 407, 970, 580, 561 on a calculator?

You can find the GCD of 407, 970, 580, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.