GCD of 82, 344, 180, 475 Calculator

Given Input numbers are 82, 344, 180, 475

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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 475

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

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 82, 344, 180, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 344, 180, 475 is 1.

Therefore, GCD of numbers 82, 344, 180, 475 is 1

Given Input Data is 82, 344, 180, 475

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 344 is 2 x 2 x 2 x 43

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

Prime Factorization of 475 is 5 x 5 x 19

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(82, 344) = 14104

GCD(82, 344) = ( 82 x 344 ) / 14104

GCD(82, 344) = 28208 / 14104

GCD(82, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

GCD of 82, 344, 180, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 598, 111, 826
• GCD of 28, 847, 730, 791
• GCD of 43, 148, 781, 632
• GCD of 44, 959, 198, 824
• GCD of 94, 241, 945, 491

1. What is the GCD of 82, 344, 180, 475?

GCD of 82, 344, 180, 475 is 1

2. Where do I get the detailed procedure to find GCD of 82, 344, 180, 475?

You can find a detailed procedure to find GCD of 82, 344, 180, 475 on our page.

3. How to find GCD of 82, 344, 180, 475 on a calculator?

You can find the GCD of 82, 344, 180, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.