GCD of 978, 153, 231, 221 Calculator

Given Input numbers are 978, 153, 231, 221

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

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 978, 153, 231, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 153, 231, 221 is 1.

Therefore, GCD of numbers 978, 153, 231, 221 is 1

Given Input Data is 978, 153, 231, 221

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 221 is 13 x 17

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(978, 153) = 49878

GCD(978, 153) = ( 978 x 153 ) / 49878

GCD(978, 153) = 149634 / 49878

GCD(978, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 231

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

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

GCD(3, 231) = 693 / 231

GCD(3, 231) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 221

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

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

GCD(3, 221) = 663 / 663

GCD(3, 221) = 1

GCD of 978, 153, 231, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 201, 458, 239
• GCD of 525, 801, 469, 725
• GCD of 861, 733, 147, 225
• GCD of 608, 746, 223, 822
• GCD of 202, 417, 878, 446

1. What is the GCD of 978, 153, 231, 221?

GCD of 978, 153, 231, 221 is 1

2. Where do I get the detailed procedure to find GCD of 978, 153, 231, 221?

You can find a detailed procedure to find GCD of 978, 153, 231, 221 on our page.

3. How to find GCD of 978, 153, 231, 221 on a calculator?

You can find the GCD of 978, 153, 231, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.