GCD of 387, 365, 504, 614 Calculator

Given Input numbers are 387, 365, 504, 614

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 387, 365, 504, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 365, 504, 614 is 1.

Therefore, GCD of numbers 387, 365, 504, 614 is 1

Given Input Data is 387, 365, 504, 614

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 365 is 5 x 73

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

Prime Factorization of 614 is 2 x 307

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(387, 365) = 141255

GCD(387, 365) = ( 387 x 365 ) / 141255

GCD(387, 365) = 141255 / 141255

GCD(387, 365) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 387, 365, 504, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 859, 494, 532
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1. What is the GCD of 387, 365, 504, 614?

GCD of 387, 365, 504, 614 is 1

2. Where do I get the detailed procedure to find GCD of 387, 365, 504, 614?

You can find a detailed procedure to find GCD of 387, 365, 504, 614 on our page.

3. How to find GCD of 387, 365, 504, 614 on a calculator?

You can find the GCD of 387, 365, 504, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.