GCD of 356, 504, 39, 362 Calculator

Given Input numbers are 356, 504, 39, 362

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 39

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

1, 3, 13, 39

Divisors of 362

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

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 356, 504, 39, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 504, 39, 362 is 1.

Therefore, GCD of numbers 356, 504, 39, 362 is 1

Given Input Data is 356, 504, 39, 362

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 39 is 3 x 13

Prime Factorization of 362 is 2 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(356, 504) = 44856

GCD(356, 504) = ( 356 x 504 ) / 44856

GCD(356, 504) = 179424 / 44856

GCD(356, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 356, 504, 39, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 900, 34, 491
• GCD of 414, 512, 84, 923
• GCD of 932, 945, 38, 210
• GCD of 961, 319, 17, 328
• GCD of 962, 850, 40, 961

1. What is the GCD of 356, 504, 39, 362?

GCD of 356, 504, 39, 362 is 1

2. Where do I get the detailed procedure to find GCD of 356, 504, 39, 362?

You can find a detailed procedure to find GCD of 356, 504, 39, 362 on our page.

3. How to find GCD of 356, 504, 39, 362 on a calculator?

You can find the GCD of 356, 504, 39, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.