GCD of 865, 360, 966, 916 Calculator

Given Input numbers are 865, 360, 966, 916

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

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (865, 360, 966, 916) = 1.

Given numbers are 865, 360, 966, 916

The list of prime factors of all numbers are

Prime factors of 865 are 5 x 173

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

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 865, 360, 966, 916

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

Apply this formula for all numbers.

Step1:

LCM(865, 360) = 62280

GCD(865, 360) = ( 865 x 360 ) / 62280

= 865 / 360

= 865

Step2:

LCM(5, 966) = 4830

GCD(5, 966) = ( 5 x 966 ) / 4830

= 5 / 966

= 5

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 865, 360, 966, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 668, 422, 914
• GCD of 891, 668, 898, 765
• GCD of 921, 764, 582, 645
• GCD of 843, 250, 432, 929
• GCD of 902, 468, 715, 388

Given numbers are 865, 360, 966, 916
The greatest common divisor of numbers 865, 360, 966, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 865, 360, 966, 916 is 1.

1. What is the GCD of 865, 360, 966, 916?

GCD of given numbers 865, 360, 966, 916 is 1

2. How to calculate the greatest common divisor of 865, 360, 966, 916?

We can find the highest common divisor of 865, 360, 966, 916 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 865, 360, 966, 916 i.e 1.

3. How can I use the GCD of 865, 360, 966, 916Calculator?

Out the numbers 865, 360, 966, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.