GCD of 420, 779, 173, 477 Calculator

Given Input numbers are 420, 779, 173, 477

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 477

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

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 420, 779, 173, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 779, 173, 477 is 1.

Therefore, GCD of numbers 420, 779, 173, 477 is 1

Given Input Data is 420, 779, 173, 477

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 779 is 19 x 41

Prime Factorization of 173 is 173

Prime Factorization of 477 is 3 x 3 x 53

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(420, 779) = 327180

GCD(420, 779) = ( 420 x 779 ) / 327180

GCD(420, 779) = 327180 / 327180

GCD(420, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 420, 779, 173, 477 is 1

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1. What is the GCD of 420, 779, 173, 477?

GCD of 420, 779, 173, 477 is 1

2. Where do I get the detailed procedure to find GCD of 420, 779, 173, 477?

You can find a detailed procedure to find GCD of 420, 779, 173, 477 on our page.

3. How to find GCD of 420, 779, 173, 477 on a calculator?

You can find the GCD of 420, 779, 173, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.