GCD of 387, 378, 828, 953 Calculator

Given Input numbers are 387, 378, 828, 953

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 387, 378, 828, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 378, 828, 953 is 1.

Therefore, GCD of numbers 387, 378, 828, 953 is 1

Given Input Data is 387, 378, 828, 953

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 953 is 953

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, 378) = 16254

GCD(387, 378) = ( 387 x 378 ) / 16254

GCD(387, 378) = 146286 / 16254

GCD(387, 378) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 828

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

LCM(9, 828) = 828

GCD(9, 828) = ( 9 x 828 ) / 828

GCD(9, 828) = 7452 / 828

GCD(9, 828) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 953

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

LCM(9, 953) = 8577

GCD(9, 953) = ( 9 x 953 ) / 8577

GCD(9, 953) = 8577 / 8577

GCD(9, 953) = 1

GCD of 387, 378, 828, 953 is 1

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1. What is the GCD of 387, 378, 828, 953?

GCD of 387, 378, 828, 953 is 1

2. Where do I get the detailed procedure to find GCD of 387, 378, 828, 953?

You can find a detailed procedure to find GCD of 387, 378, 828, 953 on our page.

3. How to find GCD of 387, 378, 828, 953 on a calculator?

You can find the GCD of 387, 378, 828, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.