GCD of 966, 198, 691, 112 Calculator

Given Input numbers are 966, 198, 691, 112

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

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (966, 198, 691, 112) = 1.

Given numbers are 966, 198, 691, 112

The list of prime factors of all numbers are

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

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 691 are 691

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 966, 198, 691, 112

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

Apply this formula for all numbers.

Step1:

LCM(966, 198) = 31878

GCD(966, 198) = ( 966 x 198 ) / 31878

= 966 / 198

= 966

Step2:

LCM(6, 691) = 4146

GCD(6, 691) = ( 6 x 691 ) / 4146

= 6 / 691

= 6

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 966, 198, 691, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 302, 668, 540
• GCD of 864, 350, 667, 768
• GCD of 188, 754, 485, 777
• GCD of 516, 824, 125, 139
• GCD of 793, 866, 793, 946

Given numbers are 966, 198, 691, 112
The greatest common divisor of numbers 966, 198, 691, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 198, 691, 112 is 1.

1. What is the GCD of 966, 198, 691, 112?

GCD of given numbers 966, 198, 691, 112 is 1

2. How to calculate the greatest common divisor of 966, 198, 691, 112?

We can find the highest common divisor of 966, 198, 691, 112 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 966, 198, 691, 112 i.e 1.

3. How can I use the GCD of 966, 198, 691, 112Calculator?

Out the numbers 966, 198, 691, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.