GCD of 476, 472, 90 Calculator

Given Input numbers are 476, 472, 90

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 472

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

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 476, 472, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 472, 90 is 2.

Therefore, GCD of numbers 476, 472, 90 is 2

Given Input Data is 476, 472, 90

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(476, 472) = 56168

GCD(476, 472) = ( 476 x 472 ) / 56168

GCD(476, 472) = 224672 / 56168

GCD(476, 472) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

GCD of 476, 472, 90 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 633, 79
• GCD of 818, 180, 33
• GCD of 672, 252, 86
• GCD of 906, 244, 66
• GCD of 351, 543, 84

1. What is the GCD of 476, 472, 90?

GCD of 476, 472, 90 is 2

2. Where do I get the detailed procedure to find GCD of 476, 472, 90?

You can find a detailed procedure to find GCD of 476, 472, 90 on our page.

3. How to find GCD of 476, 472, 90 on a calculator?

You can find the GCD of 476, 472, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.