GCD of 345, 252, 356, 504 Calculator

Given Input numbers are 345, 252, 356, 504

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

Greatest Common Divisior

We found the divisors of 345, 252, 356, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 252, 356, 504 is 1.

Therefore, GCD of numbers 345, 252, 356, 504 is 1

Given Input Data is 345, 252, 356, 504

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

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(345, 252) = 28980

GCD(345, 252) = ( 345 x 252 ) / 28980

GCD(345, 252) = 86940 / 28980

GCD(345, 252) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 356

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

LCM(3, 356) = 1068

GCD(3, 356) = ( 3 x 356 ) / 1068

GCD(3, 356) = 1068 / 1068

GCD(3, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 345, 252, 356, 504 is 1

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1. What is the GCD of 345, 252, 356, 504?

GCD of 345, 252, 356, 504 is 1

2. Where do I get the detailed procedure to find GCD of 345, 252, 356, 504?

You can find a detailed procedure to find GCD of 345, 252, 356, 504 on our page.

3. How to find GCD of 345, 252, 356, 504 on a calculator?

You can find the GCD of 345, 252, 356, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.