GCD of 323, 101, 828, 942 Calculator

Given Input numbers are 323, 101, 828, 942

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 323, 101, 828, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 101, 828, 942 is 1.

Therefore, GCD of numbers 323, 101, 828, 942 is 1

Given Input Data is 323, 101, 828, 942

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 101 is 101

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

Prime Factorization of 942 is 2 x 3 x 157

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(323, 101) = 32623

GCD(323, 101) = ( 323 x 101 ) / 32623

GCD(323, 101) = 32623 / 32623

GCD(323, 101) = 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 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 323, 101, 828, 942 is 1

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1. What is the GCD of 323, 101, 828, 942?

GCD of 323, 101, 828, 942 is 1

2. Where do I get the detailed procedure to find GCD of 323, 101, 828, 942?

You can find a detailed procedure to find GCD of 323, 101, 828, 942 on our page.

3. How to find GCD of 323, 101, 828, 942 on a calculator?

You can find the GCD of 323, 101, 828, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.