GCD of 362, 212, 39, 945 Calculator

Given Input numbers are 362, 212, 39, 945

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 362, 212, 39, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 212, 39, 945 is 1.

Therefore, GCD of numbers 362, 212, 39, 945 is 1

Given Input Data is 362, 212, 39, 945

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 39 is 3 x 13

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(362, 212) = 38372

GCD(362, 212) = ( 362 x 212 ) / 38372

GCD(362, 212) = 76744 / 38372

GCD(362, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 362, 212, 39, 945 is 1

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1. What is the GCD of 362, 212, 39, 945?

GCD of 362, 212, 39, 945 is 1

2. Where do I get the detailed procedure to find GCD of 362, 212, 39, 945?

You can find a detailed procedure to find GCD of 362, 212, 39, 945 on our page.

3. How to find GCD of 362, 212, 39, 945 on a calculator?

You can find the GCD of 362, 212, 39, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.