GCD of 443, 372, 828, 114 Calculator

Given Input numbers are 443, 372, 828, 114

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

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 443, 372, 828, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 443, 372, 828, 114 is 1.

Therefore, GCD of numbers 443, 372, 828, 114 is 1

Given Input Data is 443, 372, 828, 114

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

Prime Factorization of 443 is 443

Prime Factorization of 372 is 2 x 2 x 3 x 31

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

Prime Factorization of 114 is 2 x 3 x 19

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(443, 372) = 164796

GCD(443, 372) = ( 443 x 372 ) / 164796

GCD(443, 372) = 164796 / 164796

GCD(443, 372) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 443, 372, 828, 114 is 1

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1. What is the GCD of 443, 372, 828, 114?

GCD of 443, 372, 828, 114 is 1

2. Where do I get the detailed procedure to find GCD of 443, 372, 828, 114?

You can find a detailed procedure to find GCD of 443, 372, 828, 114 on our page.

3. How to find GCD of 443, 372, 828, 114 on a calculator?

You can find the GCD of 443, 372, 828, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.