GCD of 380, 575, 202 Calculator

Given Input numbers are 380, 575, 202

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 380, 575, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 575, 202 is 1.

Therefore, GCD of numbers 380, 575, 202 is 1

Given Input Data is 380, 575, 202

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 202 is 2 x 101

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(380, 575) = 43700

GCD(380, 575) = ( 380 x 575 ) / 43700

GCD(380, 575) = 218500 / 43700

GCD(380, 575) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 202

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

LCM(5, 202) = 1010

GCD(5, 202) = ( 5 x 202 ) / 1010

GCD(5, 202) = 1010 / 1010

GCD(5, 202) = 1

GCD of 380, 575, 202 is 1

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1. What is the GCD of 380, 575, 202?

GCD of 380, 575, 202 is 1

2. Where do I get the detailed procedure to find GCD of 380, 575, 202?

You can find a detailed procedure to find GCD of 380, 575, 202 on our page.

3. How to find GCD of 380, 575, 202 on a calculator?

You can find the GCD of 380, 575, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.