GCD of 360, 696, 58, 690 Calculator

Given Input numbers are 360, 696, 58, 690

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

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 58

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

1, 2, 29, 58

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 360, 696, 58, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 696, 58, 690 is 2.

Therefore, GCD of numbers 360, 696, 58, 690 is 2

Given Input Data is 360, 696, 58, 690

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

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 58 is 2 x 29

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(360, 696) = 10440

GCD(360, 696) = ( 360 x 696 ) / 10440

GCD(360, 696) = 250560 / 10440

GCD(360, 696) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 58

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

LCM(24, 58) = 696

GCD(24, 58) = ( 24 x 58 ) / 696

GCD(24, 58) = 1392 / 696

GCD(24, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

GCD of 360, 696, 58, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 875, 40, 989
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• GCD of 465, 775, 21, 895
• GCD of 720, 903, 35, 546
• GCD of 437, 788, 29, 677

1. What is the GCD of 360, 696, 58, 690?

GCD of 360, 696, 58, 690 is 2

2. Where do I get the detailed procedure to find GCD of 360, 696, 58, 690?

You can find a detailed procedure to find GCD of 360, 696, 58, 690 on our page.

3. How to find GCD of 360, 696, 58, 690 on a calculator?

You can find the GCD of 360, 696, 58, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.