GCD of 169, 156, 71, 446 Calculator

Given Input numbers are 169, 156, 71, 446

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 446

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

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 169, 156, 71, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 156, 71, 446 is 1.

Therefore, GCD of numbers 169, 156, 71, 446 is 1

Given Input Data is 169, 156, 71, 446

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 71 is 71

Prime Factorization of 446 is 2 x 223

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(169, 156) = 2028

GCD(169, 156) = ( 169 x 156 ) / 2028

GCD(169, 156) = 26364 / 2028

GCD(169, 156) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 71

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

LCM(13, 71) = 923

GCD(13, 71) = ( 13 x 71 ) / 923

GCD(13, 71) = 923 / 923

GCD(13, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 169, 156, 71, 446 is 1

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1. What is the GCD of 169, 156, 71, 446?

GCD of 169, 156, 71, 446 is 1

2. Where do I get the detailed procedure to find GCD of 169, 156, 71, 446?

You can find a detailed procedure to find GCD of 169, 156, 71, 446 on our page.

3. How to find GCD of 169, 156, 71, 446 on a calculator?

You can find the GCD of 169, 156, 71, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.