GCD of 966, 864, 852, 971 Calculator

Given Input numbers are 966, 864, 852, 971

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (966, 864, 852, 971) = 1.

Given numbers are 966, 864, 852, 971

The list of prime factors of all numbers are

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 971 are 971

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

Given numbers are 966, 864, 852, 971

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

Apply this formula for all numbers.

Step1:

LCM(966, 864) = 139104

GCD(966, 864) = ( 966 x 864 ) / 139104

= 966 / 864

= 966

Step2:

LCM(6, 852) = 852

GCD(6, 852) = ( 6 x 852 ) / 852

= 6 / 852

= 6

Step3:

LCM(6, 971) = 5826

GCD(6, 971) = ( 6 x 971 ) / 5826

= 6 / 971

= 6

So, Greatest Common Divisor of 966, 864, 852, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 948, 828, 283
• GCD of 723, 207, 161, 406
• GCD of 542, 978, 286, 629
• GCD of 329, 175, 404, 608
• GCD of 588, 573, 572, 875

Given numbers are 966, 864, 852, 971
The greatest common divisor of numbers 966, 864, 852, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 864, 852, 971 is 1.

1. What is the GCD of 966, 864, 852, 971?

GCD of given numbers 966, 864, 852, 971 is 1

2. How to calculate the greatest common divisor of 966, 864, 852, 971?

We can find the highest common divisor of 966, 864, 852, 971 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, 864, 852, 971 i.e 1.

3. How can I use the GCD of 966, 864, 852, 971Calculator?

Out the numbers 966, 864, 852, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.