GCD of 462, 605, 190, 309 Calculator

Given Input numbers are 462, 605, 190, 309

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 462, 605, 190, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 605, 190, 309 is 1.

Therefore, GCD of numbers 462, 605, 190, 309 is 1

Given Input Data is 462, 605, 190, 309

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 309 is 3 x 103

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(462, 605) = 25410

GCD(462, 605) = ( 462 x 605 ) / 25410

GCD(462, 605) = 279510 / 25410

GCD(462, 605) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 190

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

LCM(11, 190) = 2090

GCD(11, 190) = ( 11 x 190 ) / 2090

GCD(11, 190) = 2090 / 2090

GCD(11, 190) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 462, 605, 190, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 156, 711, 448
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• GCD of 334, 361, 805, 199
• GCD of 303, 947, 368, 617
• GCD of 707, 253, 848, 906

1. What is the GCD of 462, 605, 190, 309?

GCD of 462, 605, 190, 309 is 1

2. Where do I get the detailed procedure to find GCD of 462, 605, 190, 309?

You can find a detailed procedure to find GCD of 462, 605, 190, 309 on our page.

3. How to find GCD of 462, 605, 190, 309 on a calculator?

You can find the GCD of 462, 605, 190, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.