GCD of 446, 171, 79, 507 Calculator

Given Input numbers are 446, 171, 79, 507

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 446, 171, 79, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 171, 79, 507 is 1.

Therefore, GCD of numbers 446, 171, 79, 507 is 1

Given Input Data is 446, 171, 79, 507

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 79 is 79

Prime Factorization of 507 is 3 x 13 x 13

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(446, 171) = 76266

GCD(446, 171) = ( 446 x 171 ) / 76266

GCD(446, 171) = 76266 / 76266

GCD(446, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 446, 171, 79, 507 is 1

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1. What is the GCD of 446, 171, 79, 507?

GCD of 446, 171, 79, 507 is 1

2. Where do I get the detailed procedure to find GCD of 446, 171, 79, 507?

You can find a detailed procedure to find GCD of 446, 171, 79, 507 on our page.

3. How to find GCD of 446, 171, 79, 507 on a calculator?

You can find the GCD of 446, 171, 79, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.