GCD of 872, 187, 360, 966 Calculator

Given Input numbers are 872, 187, 360, 966

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 187 :

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

1, 11, 17, 187

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 (872, 187, 360, 966) = 1.

Given numbers are 872, 187, 360, 966

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 187 are 11 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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 872, 187, 360, 966

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

Apply this formula for all numbers.

Step1:

LCM(872, 187) = 163064

GCD(872, 187) = ( 872 x 187 ) / 163064

= 872 / 187

= 872

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 966) = 966

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

= 1 / 966

= 1

So, Greatest Common Divisor of 872, 187, 360, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 131, 719, 264
• GCD of 805, 776, 222, 837
• GCD of 760, 239, 252, 963
• GCD of 673, 352, 724, 224
• GCD of 141, 825, 977, 670

Given numbers are 872, 187, 360, 966
The greatest common divisor of numbers 872, 187, 360, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 187, 360, 966 is 1.

1. What is the GCD of 872, 187, 360, 966?

GCD of given numbers 872, 187, 360, 966 is 1

2. How to calculate the greatest common divisor of 872, 187, 360, 966?

We can find the highest common divisor of 872, 187, 360, 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 872, 187, 360, 966 i.e 1.

3. How can I use the GCD of 872, 187, 360, 966Calculator?

Out the numbers 872, 187, 360, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.