GCD of 341, 344, 90, 462 Calculator

Given Input numbers are 341, 344, 90, 462

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Greatest Common Divisior

We found the divisors of 341, 344, 90, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 344, 90, 462 is 1.

Therefore, GCD of numbers 341, 344, 90, 462 is 1

Given Input Data is 341, 344, 90, 462

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

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(341, 344) = 117304

GCD(341, 344) = ( 341 x 344 ) / 117304

GCD(341, 344) = 117304 / 117304

GCD(341, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 341, 344, 90, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 928, 43, 590
• GCD of 275, 714, 34, 746
• GCD of 835, 511, 91, 927
• GCD of 633, 461, 18, 876
• GCD of 663, 487, 62, 457

1. What is the GCD of 341, 344, 90, 462?

GCD of 341, 344, 90, 462 is 1

2. Where do I get the detailed procedure to find GCD of 341, 344, 90, 462?

You can find a detailed procedure to find GCD of 341, 344, 90, 462 on our page.

3. How to find GCD of 341, 344, 90, 462 on a calculator?

You can find the GCD of 341, 344, 90, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.