GCD of 580, 753, 42, 653 Calculator

Given Input numbers are 580, 753, 42, 653

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 580, 753, 42, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 753, 42, 653 is 1.

Therefore, GCD of numbers 580, 753, 42, 653 is 1

Given Input Data is 580, 753, 42, 653

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 753 is 3 x 251

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 653 is 653

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, 753) = 436740

GCD(580, 753) = ( 580 x 753 ) / 436740

GCD(580, 753) = 436740 / 436740

GCD(580, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 580, 753, 42, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 547, 55, 137
• GCD of 488, 776, 47, 695
• GCD of 490, 715, 63, 279
• GCD of 759, 252, 57, 178
• GCD of 201, 929, 67, 819

1. What is the GCD of 580, 753, 42, 653?

GCD of 580, 753, 42, 653 is 1

2. Where do I get the detailed procedure to find GCD of 580, 753, 42, 653?

You can find a detailed procedure to find GCD of 580, 753, 42, 653 on our page.

3. How to find GCD of 580, 753, 42, 653 on a calculator?

You can find the GCD of 580, 753, 42, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.