GCD of 100, 369, 73, 470 Calculator

Given Input numbers are 100, 369, 73, 470

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

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 100, 369, 73, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 369, 73, 470 is 1.

Therefore, GCD of numbers 100, 369, 73, 470 is 1

Given Input Data is 100, 369, 73, 470

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

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 73 is 73

Prime Factorization of 470 is 2 x 5 x 47

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(100, 369) = 36900

GCD(100, 369) = ( 100 x 369 ) / 36900

GCD(100, 369) = 36900 / 36900

GCD(100, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 100, 369, 73, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 458, 31, 866
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• GCD of 791, 756, 76, 765

1. What is the GCD of 100, 369, 73, 470?

GCD of 100, 369, 73, 470 is 1

2. Where do I get the detailed procedure to find GCD of 100, 369, 73, 470?

You can find a detailed procedure to find GCD of 100, 369, 73, 470 on our page.

3. How to find GCD of 100, 369, 73, 470 on a calculator?

You can find the GCD of 100, 369, 73, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.