GCD of 969, 111, 66, 517 Calculator

Given Input numbers are 969, 111, 66, 517

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 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 969, 111, 66, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 111, 66, 517 is 1.

Therefore, GCD of numbers 969, 111, 66, 517 is 1

Given Input Data is 969, 111, 66, 517

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 111 is 3 x 37

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 517 is 11 x 47

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, 111) = 35853

GCD(969, 111) = ( 969 x 111 ) / 35853

GCD(969, 111) = 107559 / 35853

GCD(969, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 517

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

LCM(3, 517) = 1551

GCD(3, 517) = ( 3 x 517 ) / 1551

GCD(3, 517) = 1551 / 1551

GCD(3, 517) = 1

GCD of 969, 111, 66, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 972, 75, 183
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• GCD of 309, 149, 17, 291
• GCD of 767, 602, 45, 922
• GCD of 660, 788, 49, 474

1. What is the GCD of 969, 111, 66, 517?

GCD of 969, 111, 66, 517 is 1

2. Where do I get the detailed procedure to find GCD of 969, 111, 66, 517?

You can find a detailed procedure to find GCD of 969, 111, 66, 517 on our page.

3. How to find GCD of 969, 111, 66, 517 on a calculator?

You can find the GCD of 969, 111, 66, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.