GCD of 450, 734, 123 Calculator

Given Input numbers are 450, 734, 123

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 450, 734, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 734, 123 is 1.

Therefore, GCD of numbers 450, 734, 123 is 1

Given Input Data is 450, 734, 123

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 734 is 2 x 367

Prime Factorization of 123 is 3 x 41

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(450, 734) = 165150

GCD(450, 734) = ( 450 x 734 ) / 165150

GCD(450, 734) = 330300 / 165150

GCD(450, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

GCD of 450, 734, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 314, 188
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1. What is the GCD of 450, 734, 123?

GCD of 450, 734, 123 is 1

2. Where do I get the detailed procedure to find GCD of 450, 734, 123?

You can find a detailed procedure to find GCD of 450, 734, 123 on our page.

3. How to find GCD of 450, 734, 123 on a calculator?

You can find the GCD of 450, 734, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.