GCD of 523, 360, 60, 467 Calculator

Given Input numbers are 523, 360, 60, 467

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

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 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 523, 360, 60, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 360, 60, 467 is 1.

Therefore, GCD of numbers 523, 360, 60, 467 is 1

Given Input Data is 523, 360, 60, 467

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

Prime Factorization of 523 is 523

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 467 is 467

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(523, 360) = 188280

GCD(523, 360) = ( 523 x 360 ) / 188280

GCD(523, 360) = 188280 / 188280

GCD(523, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 523, 360, 60, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 731, 54, 547
• GCD of 552, 972, 74, 951
• GCD of 679, 245, 13, 952
• GCD of 377, 825, 98, 845
• GCD of 957, 896, 54, 632

1. What is the GCD of 523, 360, 60, 467?

GCD of 523, 360, 60, 467 is 1

2. Where do I get the detailed procedure to find GCD of 523, 360, 60, 467?

You can find a detailed procedure to find GCD of 523, 360, 60, 467 on our page.

3. How to find GCD of 523, 360, 60, 467 on a calculator?

You can find the GCD of 523, 360, 60, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.