GCD of 507, 549, 338, 893 Calculator

Given Input numbers are 507, 549, 338, 893

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

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 507, 549, 338, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 549, 338, 893 is 1.

Therefore, GCD of numbers 507, 549, 338, 893 is 1

Given Input Data is 507, 549, 338, 893

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 893 is 19 x 47

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(507, 549) = 92781

GCD(507, 549) = ( 507 x 549 ) / 92781

GCD(507, 549) = 278343 / 92781

GCD(507, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 338

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

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

GCD(3, 338) = 1014 / 1014

GCD(3, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 507, 549, 338, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 474, 124, 866
• GCD of 993, 392, 486, 717
• GCD of 297, 636, 459, 823
• GCD of 209, 913, 598, 278
• GCD of 889, 892, 586, 247

1. What is the GCD of 507, 549, 338, 893?

GCD of 507, 549, 338, 893 is 1

2. Where do I get the detailed procedure to find GCD of 507, 549, 338, 893?

You can find a detailed procedure to find GCD of 507, 549, 338, 893 on our page.

3. How to find GCD of 507, 549, 338, 893 on a calculator?

You can find the GCD of 507, 549, 338, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.