GCD of 567, 990, 202, 480 Calculator

Given Input numbers are 567, 990, 202, 480

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 567, 990, 202, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 990, 202, 480 is 1.

Therefore, GCD of numbers 567, 990, 202, 480 is 1

Given Input Data is 567, 990, 202, 480

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 202 is 2 x 101

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(567, 990) = 62370

GCD(567, 990) = ( 567 x 990 ) / 62370

GCD(567, 990) = 561330 / 62370

GCD(567, 990) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 202

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

LCM(9, 202) = 1818

GCD(9, 202) = ( 9 x 202 ) / 1818

GCD(9, 202) = 1818 / 1818

GCD(9, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 567, 990, 202, 480 is 1

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1. What is the GCD of 567, 990, 202, 480?

GCD of 567, 990, 202, 480 is 1

2. Where do I get the detailed procedure to find GCD of 567, 990, 202, 480?

You can find a detailed procedure to find GCD of 567, 990, 202, 480 on our page.

3. How to find GCD of 567, 990, 202, 480 on a calculator?

You can find the GCD of 567, 990, 202, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.