GCD of 864, 137, 341 Calculator

Given Input numbers are 864, 137, 341

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 341

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

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 864, 137, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 137, 341 is 1.

Therefore, GCD of numbers 864, 137, 341 is 1

Given Input Data is 864, 137, 341

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 137 is 137

Prime Factorization of 341 is 11 x 31

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(864, 137) = 118368

GCD(864, 137) = ( 864 x 137 ) / 118368

GCD(864, 137) = 118368 / 118368

GCD(864, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 864, 137, 341 is 1

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1. What is the GCD of 864, 137, 341?

GCD of 864, 137, 341 is 1

2. Where do I get the detailed procedure to find GCD of 864, 137, 341?

You can find a detailed procedure to find GCD of 864, 137, 341 on our page.

3. How to find GCD of 864, 137, 341 on a calculator?

You can find the GCD of 864, 137, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.