GCD of 966, 396, 187, 829 Calculator

Given Input numbers are 966, 396, 187, 829

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (966, 396, 187, 829) = 1.

Given numbers are 966, 396, 187, 829

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 187 are 11 x 17

Prime factors of 829 are 829

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

Given numbers are 966, 396, 187, 829

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

Apply this formula for all numbers.

Step1:

LCM(966, 396) = 63756

GCD(966, 396) = ( 966 x 396 ) / 63756

= 966 / 396

= 966

Step2:

LCM(6, 187) = 1122

GCD(6, 187) = ( 6 x 187 ) / 1122

= 6 / 187

= 6

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 966, 396, 187, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 180, 412, 714
• GCD of 784, 683, 117, 595
• GCD of 832, 972, 158, 283
• GCD of 548, 232, 888, 946
• GCD of 291, 857, 979, 207

Given numbers are 966, 396, 187, 829
The greatest common divisor of numbers 966, 396, 187, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 396, 187, 829 is 1.

1. What is the GCD of 966, 396, 187, 829?

GCD of given numbers 966, 396, 187, 829 is 1

2. How to calculate the greatest common divisor of 966, 396, 187, 829?

We can find the highest common divisor of 966, 396, 187, 829 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, 396, 187, 829 i.e 1.

3. How can I use the GCD of 966, 396, 187, 829Calculator?

Out the numbers 966, 396, 187, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.