GCD of 745, 360, 604, 473 Calculator

Given Input numbers are 745, 360, 604, 473

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 745, 360, 604, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 360, 604, 473 is 1.

Therefore, GCD of numbers 745, 360, 604, 473 is 1

Given Input Data is 745, 360, 604, 473

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 473 is 11 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(745, 360) = 53640

GCD(745, 360) = ( 745 x 360 ) / 53640

GCD(745, 360) = 268200 / 53640

GCD(745, 360) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 604

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

LCM(5, 604) = 3020

GCD(5, 604) = ( 5 x 604 ) / 3020

GCD(5, 604) = 3020 / 3020

GCD(5, 604) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 745, 360, 604, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 290, 915, 903
• GCD of 145, 971, 896, 503
• GCD of 973, 198, 276, 532
• GCD of 942, 577, 620, 213
• GCD of 149, 109, 691, 252

1. What is the GCD of 745, 360, 604, 473?

GCD of 745, 360, 604, 473 is 1

2. Where do I get the detailed procedure to find GCD of 745, 360, 604, 473?

You can find a detailed procedure to find GCD of 745, 360, 604, 473 on our page.

3. How to find GCD of 745, 360, 604, 473 on a calculator?

You can find the GCD of 745, 360, 604, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.