GCD of 477, 990, 67, 820 Calculator

Given Input numbers are 477, 990, 67, 820

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

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 477, 990, 67, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 990, 67, 820 is 1.

Therefore, GCD of numbers 477, 990, 67, 820 is 1

Given Input Data is 477, 990, 67, 820

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

Prime Factorization of 477 is 3 x 3 x 53

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

Prime Factorization of 67 is 67

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(477, 990) = 52470

GCD(477, 990) = ( 477 x 990 ) / 52470

GCD(477, 990) = 472230 / 52470

GCD(477, 990) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 67

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

LCM(9, 67) = 603

GCD(9, 67) = ( 9 x 67 ) / 603

GCD(9, 67) = 603 / 603

GCD(9, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 477, 990, 67, 820 is 1

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1. What is the GCD of 477, 990, 67, 820?

GCD of 477, 990, 67, 820 is 1

2. Where do I get the detailed procedure to find GCD of 477, 990, 67, 820?

You can find a detailed procedure to find GCD of 477, 990, 67, 820 on our page.

3. How to find GCD of 477, 990, 67, 820 on a calculator?

You can find the GCD of 477, 990, 67, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.