GCD of 706, 450, 40, 173 Calculator

Given Input numbers are 706, 450, 40, 173

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 706, 450, 40, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 450, 40, 173 is 1.

Therefore, GCD of numbers 706, 450, 40, 173 is 1

Given Input Data is 706, 450, 40, 173

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

Prime Factorization of 706 is 2 x 353

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 173 is 173

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(706, 450) = 158850

GCD(706, 450) = ( 706 x 450 ) / 158850

GCD(706, 450) = 317700 / 158850

GCD(706, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 173

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

LCM(2, 173) = 346

GCD(2, 173) = ( 2 x 173 ) / 346

GCD(2, 173) = 346 / 346

GCD(2, 173) = 1

GCD of 706, 450, 40, 173 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 283, 85, 264
• GCD of 413, 559, 28, 705
• GCD of 405, 856, 39, 628
• GCD of 705, 684, 85, 302
• GCD of 240, 538, 14, 465

1. What is the GCD of 706, 450, 40, 173?

GCD of 706, 450, 40, 173 is 1

2. Where do I get the detailed procedure to find GCD of 706, 450, 40, 173?

You can find a detailed procedure to find GCD of 706, 450, 40, 173 on our page.

3. How to find GCD of 706, 450, 40, 173 on a calculator?

You can find the GCD of 706, 450, 40, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.