GCD of 362, 298, 38, 461 Calculator

Given Input numbers are 362, 298, 38, 461

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 362, 298, 38, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 298, 38, 461 is 1.

Therefore, GCD of numbers 362, 298, 38, 461 is 1

Given Input Data is 362, 298, 38, 461

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 298 is 2 x 149

Prime Factorization of 38 is 2 x 19

Prime Factorization of 461 is 461

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(362, 298) = 53938

GCD(362, 298) = ( 362 x 298 ) / 53938

GCD(362, 298) = 107876 / 53938

GCD(362, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

GCD of 362, 298, 38, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 220, 18, 726
• GCD of 896, 744, 14, 910
• GCD of 280, 251, 24, 436
• GCD of 300, 209, 83, 766
• GCD of 463, 108, 11, 849

1. What is the GCD of 362, 298, 38, 461?

GCD of 362, 298, 38, 461 is 1

2. Where do I get the detailed procedure to find GCD of 362, 298, 38, 461?

You can find a detailed procedure to find GCD of 362, 298, 38, 461 on our page.

3. How to find GCD of 362, 298, 38, 461 on a calculator?

You can find the GCD of 362, 298, 38, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.