GCD of 342, 637, 10, 905 Calculator

Given Input numbers are 342, 637, 10, 905

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 342, 637, 10, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 637, 10, 905 is 1.

Therefore, GCD of numbers 342, 637, 10, 905 is 1

Given Input Data is 342, 637, 10, 905

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 637 is 7 x 7 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 905 is 5 x 181

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, 637) = 217854

GCD(342, 637) = ( 342 x 637 ) / 217854

GCD(342, 637) = 217854 / 217854

GCD(342, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 342, 637, 10, 905 is 1

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1. What is the GCD of 342, 637, 10, 905?

GCD of 342, 637, 10, 905 is 1

2. Where do I get the detailed procedure to find GCD of 342, 637, 10, 905?

You can find a detailed procedure to find GCD of 342, 637, 10, 905 on our page.

3. How to find GCD of 342, 637, 10, 905 on a calculator?

You can find the GCD of 342, 637, 10, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.