GCD of 586, 870, 722, 753 Calculator

Given Input numbers are 586, 870, 722, 753

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 753

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

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 586, 870, 722, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 870, 722, 753 is 1.

Therefore, GCD of numbers 586, 870, 722, 753 is 1

Given Input Data is 586, 870, 722, 753

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 753 is 3 x 251

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(586, 870) = 254910

GCD(586, 870) = ( 586 x 870 ) / 254910

GCD(586, 870) = 509820 / 254910

GCD(586, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 753

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

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

GCD(2, 753) = 1506 / 1506

GCD(2, 753) = 1

GCD of 586, 870, 722, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 179, 838, 540
• GCD of 158, 926, 577, 356
• GCD of 853, 660, 146, 128
• GCD of 467, 697, 371, 356
• GCD of 861, 571, 854, 235

1. What is the GCD of 586, 870, 722, 753?

GCD of 586, 870, 722, 753 is 1

2. Where do I get the detailed procedure to find GCD of 586, 870, 722, 753?

You can find a detailed procedure to find GCD of 586, 870, 722, 753 on our page.

3. How to find GCD of 586, 870, 722, 753 on a calculator?

You can find the GCD of 586, 870, 722, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.