GCD of 52, 692, 216, 475 Calculator

Given Input numbers are 52, 692, 216, 475

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 52, 692, 216, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 692, 216, 475 is 1.

Therefore, GCD of numbers 52, 692, 216, 475 is 1

Given Input Data is 52, 692, 216, 475

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 475 is 5 x 5 x 19

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(52, 692) = 8996

GCD(52, 692) = ( 52 x 692 ) / 8996

GCD(52, 692) = 35984 / 8996

GCD(52, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 216

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

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

GCD(4, 216) = 864 / 216

GCD(4, 216) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 475

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

LCM(4, 475) = 1900

GCD(4, 475) = ( 4 x 475 ) / 1900

GCD(4, 475) = 1900 / 1900

GCD(4, 475) = 1

GCD of 52, 692, 216, 475 is 1

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1. What is the GCD of 52, 692, 216, 475?

GCD of 52, 692, 216, 475 is 1

2. Where do I get the detailed procedure to find GCD of 52, 692, 216, 475?

You can find a detailed procedure to find GCD of 52, 692, 216, 475 on our page.

3. How to find GCD of 52, 692, 216, 475 on a calculator?

You can find the GCD of 52, 692, 216, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.