GCD of 580, 778, 956, 390 Calculator

Given Input numbers are 580, 778, 956, 390

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 580, 778, 956, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 778, 956, 390 is 2.

Therefore, GCD of numbers 580, 778, 956, 390 is 2

Given Input Data is 580, 778, 956, 390

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 778 is 2 x 389

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 778) = 225620

GCD(580, 778) = ( 580 x 778 ) / 225620

GCD(580, 778) = 451240 / 225620

GCD(580, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

GCD of 580, 778, 956, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 795, 188, 567
• GCD of 788, 254, 201, 636
• GCD of 374, 546, 352, 247
• GCD of 636, 925, 650, 959
• GCD of 580, 558, 542, 682

1. What is the GCD of 580, 778, 956, 390?

GCD of 580, 778, 956, 390 is 2

2. Where do I get the detailed procedure to find GCD of 580, 778, 956, 390?

You can find a detailed procedure to find GCD of 580, 778, 956, 390 on our page.

3. How to find GCD of 580, 778, 956, 390 on a calculator?

You can find the GCD of 580, 778, 956, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.