GCD of 164, 501, 474, 420 Calculator

Given Input numbers are 164, 501, 474, 420

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 474

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

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

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

Greatest Common Divisior

We found the divisors of 164, 501, 474, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 501, 474, 420 is 1.

Therefore, GCD of numbers 164, 501, 474, 420 is 1

Given Input Data is 164, 501, 474, 420

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 501 is 3 x 167

Prime Factorization of 474 is 2 x 3 x 79

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

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(164, 501) = 82164

GCD(164, 501) = ( 164 x 501 ) / 82164

GCD(164, 501) = 82164 / 82164

GCD(164, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 164, 501, 474, 420 is 1

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1. What is the GCD of 164, 501, 474, 420?

GCD of 164, 501, 474, 420 is 1

2. Where do I get the detailed procedure to find GCD of 164, 501, 474, 420?

You can find a detailed procedure to find GCD of 164, 501, 474, 420 on our page.

3. How to find GCD of 164, 501, 474, 420 on a calculator?

You can find the GCD of 164, 501, 474, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.