GCD of 747, 457, 480, 173 Calculator

Given Input numbers are 747, 457, 480, 173

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 747, 457, 480, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 457, 480, 173 is 1.

Therefore, GCD of numbers 747, 457, 480, 173 is 1

Given Input Data is 747, 457, 480, 173

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 457 is 457

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 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(747, 457) = 341379

GCD(747, 457) = ( 747 x 457 ) / 341379

GCD(747, 457) = 341379 / 341379

GCD(747, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 747, 457, 480, 173 is 1

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1. What is the GCD of 747, 457, 480, 173?

GCD of 747, 457, 480, 173 is 1

2. Where do I get the detailed procedure to find GCD of 747, 457, 480, 173?

You can find a detailed procedure to find GCD of 747, 457, 480, 173 on our page.

3. How to find GCD of 747, 457, 480, 173 on a calculator?

You can find the GCD of 747, 457, 480, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.