GCD of 201, 978, 882, 302 Calculator

Given Input numbers are 201, 978, 882, 302

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 201, 978, 882, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 978, 882, 302 is 1.

Therefore, GCD of numbers 201, 978, 882, 302 is 1

Given Input Data is 201, 978, 882, 302

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 302 is 2 x 151

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(201, 978) = 65526

GCD(201, 978) = ( 201 x 978 ) / 65526

GCD(201, 978) = 196578 / 65526

GCD(201, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 882

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

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

GCD(3, 882) = 2646 / 882

GCD(3, 882) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 302

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

LCM(3, 302) = 906

GCD(3, 302) = ( 3 x 302 ) / 906

GCD(3, 302) = 906 / 906

GCD(3, 302) = 1

GCD of 201, 978, 882, 302 is 1

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1. What is the GCD of 201, 978, 882, 302?

GCD of 201, 978, 882, 302 is 1

2. Where do I get the detailed procedure to find GCD of 201, 978, 882, 302?

You can find a detailed procedure to find GCD of 201, 978, 882, 302 on our page.

3. How to find GCD of 201, 978, 882, 302 on a calculator?

You can find the GCD of 201, 978, 882, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.