GCD of 978, 459, 561, 266 Calculator

Given Input numbers are 978, 459, 561, 266

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 978, 459, 561, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 459, 561, 266 is 1.

Therefore, GCD of numbers 978, 459, 561, 266 is 1

Given Input Data is 978, 459, 561, 266

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 266 is 2 x 7 x 19

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, 459) = 149634

GCD(978, 459) = ( 978 x 459 ) / 149634

GCD(978, 459) = 448902 / 149634

GCD(978, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 561

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

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

GCD(3, 561) = 1683 / 561

GCD(3, 561) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 266

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

LCM(3, 266) = 798

GCD(3, 266) = ( 3 x 266 ) / 798

GCD(3, 266) = 798 / 798

GCD(3, 266) = 1

GCD of 978, 459, 561, 266 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 926, 403, 202
• GCD of 345, 878, 283, 372
• GCD of 320, 860, 564, 206
• GCD of 306, 185, 991, 810
• GCD of 550, 855, 134, 287

1. What is the GCD of 978, 459, 561, 266?

GCD of 978, 459, 561, 266 is 1

2. Where do I get the detailed procedure to find GCD of 978, 459, 561, 266?

You can find a detailed procedure to find GCD of 978, 459, 561, 266 on our page.

3. How to find GCD of 978, 459, 561, 266 on a calculator?

You can find the GCD of 978, 459, 561, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.