GCD of 867, 318, 873, 960 Calculator

Given Input numbers are 867, 318, 873, 960

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (867, 318, 873, 960) = 3.

Given numbers are 867, 318, 873, 960

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 318 are 2 x 3 x 53

Prime factors of 873 are 3 x 3 x 97

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 867, 318, 873, 960 is 3.

Given numbers are 867, 318, 873, 960

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

Apply this formula for all numbers.

Step1:

LCM(867, 318) = 91902

GCD(867, 318) = ( 867 x 318 ) / 91902

= 867 / 318

= 867

Step2:

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

= 3 / 873

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 867, 318, 873, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 232, 543, 770
• GCD of 158, 985, 140, 235
• GCD of 678, 145, 981, 550
• GCD of 600, 202, 200, 605
• GCD of 463, 955, 789, 895

Given numbers are 867, 318, 873, 960
The greatest common divisor of numbers 867, 318, 873, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 318, 873, 960 is 3.

1. What is the GCD of 867, 318, 873, 960?

GCD of given numbers 867, 318, 873, 960 is 3

2. How to calculate the greatest common divisor of 867, 318, 873, 960?

We can find the highest common divisor of 867, 318, 873, 960 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 867, 318, 873, 960 i.e 3.

3. How can I use the GCD of 867, 318, 873, 960Calculator?

Out the numbers 867, 318, 873, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.