GCD of 353, 284, 978, 201 Calculator

Given Input numbers are 353, 284, 978, 201

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

Divisors of 353

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

1, 353

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 201

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

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 353, 284, 978, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 284, 978, 201 is 1.

Therefore, GCD of numbers 353, 284, 978, 201 is 1

Given Input Data is 353, 284, 978, 201

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

Prime Factorization of 353 is 353

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 201 is 3 x 67

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(353, 284) = 100252

GCD(353, 284) = ( 353 x 284 ) / 100252

GCD(353, 284) = 100252 / 100252

GCD(353, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1

GCD of 353, 284, 978, 201 is 1

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1. What is the GCD of 353, 284, 978, 201?

GCD of 353, 284, 978, 201 is 1

2. Where do I get the detailed procedure to find GCD of 353, 284, 978, 201?

You can find a detailed procedure to find GCD of 353, 284, 978, 201 on our page.

3. How to find GCD of 353, 284, 978, 201 on a calculator?

You can find the GCD of 353, 284, 978, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.