GCD of 90, 468, 552, 488 Calculator

Given Input numbers are 90, 468, 552, 488

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 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 90, 468, 552, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 468, 552, 488 is 2.

Therefore, GCD of numbers 90, 468, 552, 488 is 2

Given Input Data is 90, 468, 552, 488

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 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(90, 468) = 2340

GCD(90, 468) = ( 90 x 468 ) / 2340

GCD(90, 468) = 42120 / 2340

GCD(90, 468) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 552

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

LCM(18, 552) = 1656

GCD(18, 552) = ( 18 x 552 ) / 1656

GCD(18, 552) = 9936 / 1656

GCD(18, 552) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 488

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

LCM(6, 488) = 1464

GCD(6, 488) = ( 6 x 488 ) / 1464

GCD(6, 488) = 2928 / 1464

GCD(6, 488) = 2

GCD of 90, 468, 552, 488 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 408, 572, 210
• GCD of 82, 513, 928, 232
• GCD of 45, 520, 519, 788
• GCD of 97, 728, 635, 849
• GCD of 47, 274, 335, 789

1. What is the GCD of 90, 468, 552, 488?

GCD of 90, 468, 552, 488 is 2

2. Where do I get the detailed procedure to find GCD of 90, 468, 552, 488?

You can find a detailed procedure to find GCD of 90, 468, 552, 488 on our page.

3. How to find GCD of 90, 468, 552, 488 on a calculator?

You can find the GCD of 90, 468, 552, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.