GCD of 473, 100, 30, 692 Calculator

Given Input numbers are 473, 100, 30, 692

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 473, 100, 30, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 100, 30, 692 is 1.

Therefore, GCD of numbers 473, 100, 30, 692 is 1

Given Input Data is 473, 100, 30, 692

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 692 is 2 x 2 x 173

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(473, 100) = 47300

GCD(473, 100) = ( 473 x 100 ) / 47300

GCD(473, 100) = 47300 / 47300

GCD(473, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 473, 100, 30, 692 is 1

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1. What is the GCD of 473, 100, 30, 692?

GCD of 473, 100, 30, 692 is 1

2. Where do I get the detailed procedure to find GCD of 473, 100, 30, 692?

You can find a detailed procedure to find GCD of 473, 100, 30, 692 on our page.

3. How to find GCD of 473, 100, 30, 692 on a calculator?

You can find the GCD of 473, 100, 30, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.