GCD of 415, 412, 85, 472 Calculator

Given Input numbers are 415, 412, 85, 472

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 415, 412, 85, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 412, 85, 472 is 1.

Therefore, GCD of numbers 415, 412, 85, 472 is 1

Given Input Data is 415, 412, 85, 472

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 85 is 5 x 17

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(415, 412) = 170980

GCD(415, 412) = ( 415 x 412 ) / 170980

GCD(415, 412) = 170980 / 170980

GCD(415, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 415, 412, 85, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 306, 76, 660
• GCD of 672, 875, 45, 526
• GCD of 833, 720, 21, 756
• GCD of 149, 137, 76, 246
• GCD of 539, 638, 14, 177

1. What is the GCD of 415, 412, 85, 472?

GCD of 415, 412, 85, 472 is 1

2. Where do I get the detailed procedure to find GCD of 415, 412, 85, 472?

You can find a detailed procedure to find GCD of 415, 412, 85, 472 on our page.

3. How to find GCD of 415, 412, 85, 472 on a calculator?

You can find the GCD of 415, 412, 85, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.