GCD of 837, 960, 412, 216 Calculator

Given Input numbers are 837, 960, 412, 216

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

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (837, 960, 412, 216) = 1.

Given numbers are 837, 960, 412, 216

The list of prime factors of all numbers are

Prime factors of 837 are 3 x 3 x 3 x 31

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

Prime factors of 412 are 2 x 2 x 103

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 837, 960, 412, 216

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

Apply this formula for all numbers.

Step1:

LCM(837, 960) = 267840

GCD(837, 960) = ( 837 x 960 ) / 267840

= 837 / 960

= 837

Step2:

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

= 3 / 412

= 3

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 837, 960, 412, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 351, 852, 108
• GCD of 253, 538, 352, 564
• GCD of 381, 640, 366, 460
• GCD of 873, 210, 244, 240
• GCD of 333, 383, 176, 121

Given numbers are 837, 960, 412, 216
The greatest common divisor of numbers 837, 960, 412, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 960, 412, 216 is 1.

1. What is the GCD of 837, 960, 412, 216?

GCD of given numbers 837, 960, 412, 216 is 1

2. How to calculate the greatest common divisor of 837, 960, 412, 216?

We can find the highest common divisor of 837, 960, 412, 216 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 837, 960, 412, 216 i.e 1.

3. How can I use the GCD of 837, 960, 412, 216Calculator?

Out the numbers 837, 960, 412, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.