GCD of 580, 200, 123, 715 Calculator

Given Input numbers are 580, 200, 123, 715

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

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 580, 200, 123, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 200, 123, 715 is 1.

Therefore, GCD of numbers 580, 200, 123, 715 is 1

Given Input Data is 580, 200, 123, 715

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

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 123 is 3 x 41

Prime Factorization of 715 is 5 x 11 x 13

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(580, 200) = 5800

GCD(580, 200) = ( 580 x 200 ) / 5800

GCD(580, 200) = 116000 / 5800

GCD(580, 200) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 123

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

LCM(20, 123) = 2460

GCD(20, 123) = ( 20 x 123 ) / 2460

GCD(20, 123) = 2460 / 2460

GCD(20, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 580, 200, 123, 715 is 1

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1. What is the GCD of 580, 200, 123, 715?

GCD of 580, 200, 123, 715 is 1

2. Where do I get the detailed procedure to find GCD of 580, 200, 123, 715?

You can find a detailed procedure to find GCD of 580, 200, 123, 715 on our page.

3. How to find GCD of 580, 200, 123, 715 on a calculator?

You can find the GCD of 580, 200, 123, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.