GCD of 507, 842, 77, 413 Calculator

Given Input numbers are 507, 842, 77, 413

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 507, 842, 77, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 842, 77, 413 is 1.

Therefore, GCD of numbers 507, 842, 77, 413 is 1

Given Input Data is 507, 842, 77, 413

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 842 is 2 x 421

Prime Factorization of 77 is 7 x 11

Prime Factorization of 413 is 7 x 59

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, 842) = 426894

GCD(507, 842) = ( 507 x 842 ) / 426894

GCD(507, 842) = 426894 / 426894

GCD(507, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 507, 842, 77, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 327, 17, 930
• GCD of 168, 960, 15, 458
• GCD of 957, 613, 60, 337
• GCD of 309, 135, 60, 909
• GCD of 308, 498, 14, 885

1. What is the GCD of 507, 842, 77, 413?

GCD of 507, 842, 77, 413 is 1

2. Where do I get the detailed procedure to find GCD of 507, 842, 77, 413?

You can find a detailed procedure to find GCD of 507, 842, 77, 413 on our page.

3. How to find GCD of 507, 842, 77, 413 on a calculator?

You can find the GCD of 507, 842, 77, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.