GCD of 90, 546, 449, 507 Calculator

Given Input numbers are 90, 546, 449, 507

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 449

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

1, 449

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 90, 546, 449, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 546, 449, 507 is 1.

Therefore, GCD of numbers 90, 546, 449, 507 is 1

Given Input Data is 90, 546, 449, 507

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 449 is 449

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(90, 546) = 8190

GCD(90, 546) = ( 90 x 546 ) / 8190

GCD(90, 546) = 49140 / 8190

GCD(90, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 449

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

LCM(6, 449) = 2694

GCD(6, 449) = ( 6 x 449 ) / 2694

GCD(6, 449) = 2694 / 2694

GCD(6, 449) = 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 90, 546, 449, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 634, 118, 506
• GCD of 16, 228, 572, 281
• GCD of 10, 372, 629, 919
• GCD of 26, 134, 740, 576
• GCD of 21, 906, 454, 221

1. What is the GCD of 90, 546, 449, 507?

GCD of 90, 546, 449, 507 is 1

2. Where do I get the detailed procedure to find GCD of 90, 546, 449, 507?

You can find a detailed procedure to find GCD of 90, 546, 449, 507 on our page.

3. How to find GCD of 90, 546, 449, 507 on a calculator?

You can find the GCD of 90, 546, 449, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.