GCD of 696, 188, 55, 585 Calculator

Given Input numbers are 696, 188, 55, 585

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

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 696, 188, 55, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 188, 55, 585 is 1.

Therefore, GCD of numbers 696, 188, 55, 585 is 1

Given Input Data is 696, 188, 55, 585

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

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 55 is 5 x 11

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(696, 188) = 32712

GCD(696, 188) = ( 696 x 188 ) / 32712

GCD(696, 188) = 130848 / 32712

GCD(696, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 55

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

LCM(4, 55) = 220

GCD(4, 55) = ( 4 x 55 ) / 220

GCD(4, 55) = 220 / 220

GCD(4, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 696, 188, 55, 585 is 1

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1. What is the GCD of 696, 188, 55, 585?

GCD of 696, 188, 55, 585 is 1

2. Where do I get the detailed procedure to find GCD of 696, 188, 55, 585?

You can find a detailed procedure to find GCD of 696, 188, 55, 585 on our page.

3. How to find GCD of 696, 188, 55, 585 on a calculator?

You can find the GCD of 696, 188, 55, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.