GCD of 341, 897, 462, 540 Calculator

Given Input numbers are 341, 897, 462, 540

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 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 341, 897, 462, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 897, 462, 540 is 1.

Therefore, GCD of numbers 341, 897, 462, 540 is 1

Given Input Data is 341, 897, 462, 540

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 897 is 3 x 13 x 23

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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, 897) = 305877

GCD(341, 897) = ( 341 x 897 ) / 305877

GCD(341, 897) = 305877 / 305877

GCD(341, 897) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 341, 897, 462, 540 is 1

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1. What is the GCD of 341, 897, 462, 540?

GCD of 341, 897, 462, 540 is 1

2. Where do I get the detailed procedure to find GCD of 341, 897, 462, 540?

You can find a detailed procedure to find GCD of 341, 897, 462, 540 on our page.

3. How to find GCD of 341, 897, 462, 540 on a calculator?

You can find the GCD of 341, 897, 462, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.