GCD of 580, 851, 35, 973 Calculator

Given Input numbers are 580, 851, 35, 973

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 580, 851, 35, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 851, 35, 973 is 1.

Therefore, GCD of numbers 580, 851, 35, 973 is 1

Given Input Data is 580, 851, 35, 973

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 851 is 23 x 37

Prime Factorization of 35 is 5 x 7

Prime Factorization of 973 is 7 x 139

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, 851) = 493580

GCD(580, 851) = ( 580 x 851 ) / 493580

GCD(580, 851) = 493580 / 493580

GCD(580, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 580, 851, 35, 973 is 1

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1. What is the GCD of 580, 851, 35, 973?

GCD of 580, 851, 35, 973 is 1

2. Where do I get the detailed procedure to find GCD of 580, 851, 35, 973?

You can find a detailed procedure to find GCD of 580, 851, 35, 973 on our page.

3. How to find GCD of 580, 851, 35, 973 on a calculator?

You can find the GCD of 580, 851, 35, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.