GCD of 361, 913, 509, 447 Calculator

Given Input numbers are 361, 913, 509, 447

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 361, 913, 509, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 913, 509, 447 is 1.

Therefore, GCD of numbers 361, 913, 509, 447 is 1

Given Input Data is 361, 913, 509, 447

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 913 is 11 x 83

Prime Factorization of 509 is 509

Prime Factorization of 447 is 3 x 149

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(361, 913) = 329593

GCD(361, 913) = ( 361 x 913 ) / 329593

GCD(361, 913) = 329593 / 329593

GCD(361, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 361, 913, 509, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 809, 801, 456
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• GCD of 145, 565, 914, 879
• GCD of 909, 322, 540, 820

1. What is the GCD of 361, 913, 509, 447?

GCD of 361, 913, 509, 447 is 1

2. Where do I get the detailed procedure to find GCD of 361, 913, 509, 447?

You can find a detailed procedure to find GCD of 361, 913, 509, 447 on our page.

3. How to find GCD of 361, 913, 509, 447 on a calculator?

You can find the GCD of 361, 913, 509, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.