GCD of 475, 180, 721, 795 Calculator

Given Input numbers are 475, 180, 721, 795

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 475, 180, 721, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 180, 721, 795 is 1.

Therefore, GCD of numbers 475, 180, 721, 795 is 1

Given Input Data is 475, 180, 721, 795

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 721 is 7 x 103

Prime Factorization of 795 is 3 x 5 x 53

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(475, 180) = 17100

GCD(475, 180) = ( 475 x 180 ) / 17100

GCD(475, 180) = 85500 / 17100

GCD(475, 180) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 721

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

LCM(5, 721) = 3605

GCD(5, 721) = ( 5 x 721 ) / 3605

GCD(5, 721) = 3605 / 3605

GCD(5, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 475, 180, 721, 795 is 1

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1. What is the GCD of 475, 180, 721, 795?

GCD of 475, 180, 721, 795 is 1

2. Where do I get the detailed procedure to find GCD of 475, 180, 721, 795?

You can find a detailed procedure to find GCD of 475, 180, 721, 795 on our page.

3. How to find GCD of 475, 180, 721, 795 on a calculator?

You can find the GCD of 475, 180, 721, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.