GCD of 595, 264, 360, 553 Calculator

Given Input numbers are 595, 264, 360, 553

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 595, 264, 360, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 264, 360, 553 is 1.

Therefore, GCD of numbers 595, 264, 360, 553 is 1

Given Input Data is 595, 264, 360, 553

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 553 is 7 x 79

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(595, 264) = 157080

GCD(595, 264) = ( 595 x 264 ) / 157080

GCD(595, 264) = 157080 / 157080

GCD(595, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 595, 264, 360, 553 is 1

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1. What is the GCD of 595, 264, 360, 553?

GCD of 595, 264, 360, 553 is 1

2. Where do I get the detailed procedure to find GCD of 595, 264, 360, 553?

You can find a detailed procedure to find GCD of 595, 264, 360, 553 on our page.

3. How to find GCD of 595, 264, 360, 553 on a calculator?

You can find the GCD of 595, 264, 360, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.