GCD of 169, 642, 540, 449 Calculator

Given Input numbers are 169, 642, 540, 449

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 169, 642, 540, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 642, 540, 449 is 1.

Therefore, GCD of numbers 169, 642, 540, 449 is 1

Given Input Data is 169, 642, 540, 449

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 449 is 449

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, 642) = 108498

GCD(169, 642) = ( 169 x 642 ) / 108498

GCD(169, 642) = 108498 / 108498

GCD(169, 642) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 169, 642, 540, 449 is 1

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1. What is the GCD of 169, 642, 540, 449?

GCD of 169, 642, 540, 449 is 1

2. Where do I get the detailed procedure to find GCD of 169, 642, 540, 449?

You can find a detailed procedure to find GCD of 169, 642, 540, 449 on our page.

3. How to find GCD of 169, 642, 540, 449 on a calculator?

You can find the GCD of 169, 642, 540, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.