GCD of 390, 554, 58, 360 Calculator

Given Input numbers are 390, 554, 58, 360

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

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 390, 554, 58, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 554, 58, 360 is 2.

Therefore, GCD of numbers 390, 554, 58, 360 is 2

Given Input Data is 390, 554, 58, 360

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

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 58 is 2 x 29

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(390, 554) = 108030

GCD(390, 554) = ( 390 x 554 ) / 108030

GCD(390, 554) = 216060 / 108030

GCD(390, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

GCD of 390, 554, 58, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 253, 87, 937
• GCD of 626, 247, 89, 138
• GCD of 321, 639, 83, 641
• GCD of 272, 294, 26, 890
• GCD of 406, 248, 76, 836

1. What is the GCD of 390, 554, 58, 360?

GCD of 390, 554, 58, 360 is 2

2. Where do I get the detailed procedure to find GCD of 390, 554, 58, 360?

You can find a detailed procedure to find GCD of 390, 554, 58, 360 on our page.

3. How to find GCD of 390, 554, 58, 360 on a calculator?

You can find the GCD of 390, 554, 58, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.