GCD of 969, 266, 519, 110 Calculator

Given Input numbers are 969, 266, 519, 110

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 266

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

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 969, 266, 519, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 266, 519, 110 is 1.

Therefore, GCD of numbers 969, 266, 519, 110 is 1

Given Input Data is 969, 266, 519, 110

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 519 is 3 x 173

Prime Factorization of 110 is 2 x 5 x 11

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(969, 266) = 13566

GCD(969, 266) = ( 969 x 266 ) / 13566

GCD(969, 266) = 257754 / 13566

GCD(969, 266) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 519

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

LCM(19, 519) = 9861

GCD(19, 519) = ( 19 x 519 ) / 9861

GCD(19, 519) = 9861 / 9861

GCD(19, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 969, 266, 519, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 349, 205, 464
• GCD of 618, 961, 739, 515
• GCD of 602, 635, 165, 110
• GCD of 192, 214, 287, 912
• GCD of 831, 194, 365, 767

1. What is the GCD of 969, 266, 519, 110?

GCD of 969, 266, 519, 110 is 1

2. Where do I get the detailed procedure to find GCD of 969, 266, 519, 110?

You can find a detailed procedure to find GCD of 969, 266, 519, 110 on our page.

3. How to find GCD of 969, 266, 519, 110 on a calculator?

You can find the GCD of 969, 266, 519, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.