GCD of 342, 635, 864, 837 Calculator

Given Input numbers are 342, 635, 864, 837

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 342, 635, 864, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 635, 864, 837 is 1.

Therefore, GCD of numbers 342, 635, 864, 837 is 1

Given Input Data is 342, 635, 864, 837

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 635 is 5 x 127

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

Prime Factorization of 837 is 3 x 3 x 3 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(342, 635) = 217170

GCD(342, 635) = ( 342 x 635 ) / 217170

GCD(342, 635) = 217170 / 217170

GCD(342, 635) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

GCD of 342, 635, 864, 837 is 1

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1. What is the GCD of 342, 635, 864, 837?

GCD of 342, 635, 864, 837 is 1

2. Where do I get the detailed procedure to find GCD of 342, 635, 864, 837?

You can find a detailed procedure to find GCD of 342, 635, 864, 837 on our page.

3. How to find GCD of 342, 635, 864, 837 on a calculator?

You can find the GCD of 342, 635, 864, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.