GCD of 827, 252, 123, 342 Calculator

Given Input numbers are 827, 252, 123, 342

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 827, 252, 123, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 252, 123, 342 is 1.

Therefore, GCD of numbers 827, 252, 123, 342 is 1

Given Input Data is 827, 252, 123, 342

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

Prime Factorization of 827 is 827

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 342 is 2 x 3 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(827, 252) = 208404

GCD(827, 252) = ( 827 x 252 ) / 208404

GCD(827, 252) = 208404 / 208404

GCD(827, 252) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 827, 252, 123, 342 is 1

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1. What is the GCD of 827, 252, 123, 342?

GCD of 827, 252, 123, 342 is 1

2. Where do I get the detailed procedure to find GCD of 827, 252, 123, 342?

You can find a detailed procedure to find GCD of 827, 252, 123, 342 on our page.

3. How to find GCD of 827, 252, 123, 342 on a calculator?

You can find the GCD of 827, 252, 123, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.