GCD of 507, 309, 44, 407 Calculator

Given Input numbers are 507, 309, 44, 407

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 507, 309, 44, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 309, 44, 407 is 1.

Therefore, GCD of numbers 507, 309, 44, 407 is 1

Given Input Data is 507, 309, 44, 407

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 309 is 3 x 103

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 407 is 11 x 37

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, 309) = 52221

GCD(507, 309) = ( 507 x 309 ) / 52221

GCD(507, 309) = 156663 / 52221

GCD(507, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 507, 309, 44, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 728, 12, 340
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• GCD of 190, 114, 82, 715
• GCD of 817, 491, 26, 719

1. What is the GCD of 507, 309, 44, 407?

GCD of 507, 309, 44, 407 is 1

2. Where do I get the detailed procedure to find GCD of 507, 309, 44, 407?

You can find a detailed procedure to find GCD of 507, 309, 44, 407 on our page.

3. How to find GCD of 507, 309, 44, 407 on a calculator?

You can find the GCD of 507, 309, 44, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.