GCD of 123, 963, 451, 215 Calculator

Given Input numbers are 123, 963, 451, 215

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

Divisors of 123

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

1, 3, 41, 123

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 123, 963, 451, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 963, 451, 215 is 1.

Therefore, GCD of numbers 123, 963, 451, 215 is 1

Given Input Data is 123, 963, 451, 215

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 451 is 11 x 41

Prime Factorization of 215 is 5 x 43

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(123, 963) = 39483

GCD(123, 963) = ( 123 x 963 ) / 39483

GCD(123, 963) = 118449 / 39483

GCD(123, 963) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 451

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

LCM(3, 451) = 1353

GCD(3, 451) = ( 3 x 451 ) / 1353

GCD(3, 451) = 1353 / 1353

GCD(3, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 123, 963, 451, 215 is 1

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1. What is the GCD of 123, 963, 451, 215?

GCD of 123, 963, 451, 215 is 1

2. Where do I get the detailed procedure to find GCD of 123, 963, 451, 215?

You can find a detailed procedure to find GCD of 123, 963, 451, 215 on our page.

3. How to find GCD of 123, 963, 451, 215 on a calculator?

You can find the GCD of 123, 963, 451, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.