GCD of 561, 111, 109, 966 Calculator

Given Input numbers are 561, 111, 109, 966

In the factoring method, we have to find the divisors of all numbers

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

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

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (561, 111, 109, 966) = 1.

Given numbers are 561, 111, 109, 966

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 111 are 3 x 37

Prime factors of 109 are 109

Prime factors of 966 are 2 x 3 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 561, 111, 109, 966

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(561, 111) = 20757

GCD(561, 111) = ( 561 x 111 ) / 20757

= 561 / 111

= 561

Step2:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 561, 111, 109, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 863, 371, 829
• GCD of 305, 406, 455, 876
• GCD of 902, 138, 589, 523
• GCD of 344, 962, 619, 310
• GCD of 450, 893, 891, 687

Given numbers are 561, 111, 109, 966
The greatest common divisor of numbers 561, 111, 109, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 111, 109, 966 is 1.

1. What is the GCD of 561, 111, 109, 966?

GCD of given numbers 561, 111, 109, 966 is 1

2. How to calculate the greatest common divisor of 561, 111, 109, 966?

We can find the highest common divisor of 561, 111, 109, 966 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 561, 111, 109, 966 i.e 1.

3. How can I use the GCD of 561, 111, 109, 966Calculator?

Out the numbers 561, 111, 109, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.