GCD of 204, 353, 87, 175 Calculator

Given Input numbers are 204, 353, 87, 175

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 204, 353, 87, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 353, 87, 175 is 1.

Therefore, GCD of numbers 204, 353, 87, 175 is 1

Given Input Data is 204, 353, 87, 175

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 353 is 353

Prime Factorization of 87 is 3 x 29

Prime Factorization of 175 is 5 x 5 x 7

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(204, 353) = 72012

GCD(204, 353) = ( 204 x 353 ) / 72012

GCD(204, 353) = 72012 / 72012

GCD(204, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 204, 353, 87, 175 is 1

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• GCD of 186, 598, 65, 801
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1. What is the GCD of 204, 353, 87, 175?

GCD of 204, 353, 87, 175 is 1

2. Where do I get the detailed procedure to find GCD of 204, 353, 87, 175?

You can find a detailed procedure to find GCD of 204, 353, 87, 175 on our page.

3. How to find GCD of 204, 353, 87, 175 on a calculator?

You can find the GCD of 204, 353, 87, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.