GCD of 90, 201, 456, 474 Calculator

Given Input numbers are 90, 201, 456, 474

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

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 90, 201, 456, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 201, 456, 474 is 3.

Therefore, GCD of numbers 90, 201, 456, 474 is 3

Given Input Data is 90, 201, 456, 474

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

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 474 is 2 x 3 x 79

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(90, 201) = 6030

GCD(90, 201) = ( 90 x 201 ) / 6030

GCD(90, 201) = 18090 / 6030

GCD(90, 201) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 456

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

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

GCD(3, 456) = 1368 / 456

GCD(3, 456) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 474

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

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

GCD(3, 474) = 1422 / 474

GCD(3, 474) = 3

GCD of 90, 201, 456, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 218, 294, 491
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• GCD of 40, 127, 248, 957
• GCD of 57, 905, 191, 404
• GCD of 73, 841, 149, 742

1. What is the GCD of 90, 201, 456, 474?

GCD of 90, 201, 456, 474 is 3

2. Where do I get the detailed procedure to find GCD of 90, 201, 456, 474?

You can find a detailed procedure to find GCD of 90, 201, 456, 474 on our page.

3. How to find GCD of 90, 201, 456, 474 on a calculator?

You can find the GCD of 90, 201, 456, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.