GCD of 960, 387, 834, 360 Calculator

Given Input numbers are 960, 387, 834, 360

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

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

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

GCD of numbers is the greatest common divisor

So, the GCD (960, 387, 834, 360) = 3.

Given numbers are 960, 387, 834, 360

The list of prime factors of all numbers are

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

Prime factors of 387 are 3 x 3 x 43

Prime factors of 834 are 2 x 3 x 139

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

The highest common occurrence is 3¹

Therefore, GCD of 960, 387, 834, 360 is 3.

Given numbers are 960, 387, 834, 360

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

Apply this formula for all numbers.

Step1:

LCM(960, 387) = 123840

GCD(960, 387) = ( 960 x 387 ) / 123840

= 960 / 387

= 960

Step2:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 960, 387, 834, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 433, 865, 959
• GCD of 563, 446, 922, 316
• GCD of 967, 473, 923, 159
• GCD of 453, 351, 917, 194
• GCD of 178, 397, 444, 264

Given numbers are 960, 387, 834, 360
The greatest common divisor of numbers 960, 387, 834, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 387, 834, 360 is 3.

1. What is the GCD of 960, 387, 834, 360?

GCD of given numbers 960, 387, 834, 360 is 3

2. How to calculate the greatest common divisor of 960, 387, 834, 360?

We can find the highest common divisor of 960, 387, 834, 360 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 960, 387, 834, 360 i.e 3.

3. How can I use the GCD of 960, 387, 834, 360Calculator?

Out the numbers 960, 387, 834, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.