GCD of 338, 360, 93, 475 Calculator

Given Input numbers are 338, 360, 93, 475

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 338, 360, 93, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 360, 93, 475 is 1.

Therefore, GCD of numbers 338, 360, 93, 475 is 1

Given Input Data is 338, 360, 93, 475

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 93 is 3 x 31

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(338, 360) = 60840

GCD(338, 360) = ( 338 x 360 ) / 60840

GCD(338, 360) = 121680 / 60840

GCD(338, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 93

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

LCM(2, 93) = 186

GCD(2, 93) = ( 2 x 93 ) / 186

GCD(2, 93) = 186 / 186

GCD(2, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 338, 360, 93, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 659, 20, 929
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• GCD of 723, 886, 99, 939

1. What is the GCD of 338, 360, 93, 475?

GCD of 338, 360, 93, 475 is 1

2. Where do I get the detailed procedure to find GCD of 338, 360, 93, 475?

You can find a detailed procedure to find GCD of 338, 360, 93, 475 on our page.

3. How to find GCD of 338, 360, 93, 475 on a calculator?

You can find the GCD of 338, 360, 93, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.