GCD of 837, 192, 960, 180 Calculator

Given Input numbers are 837, 192, 960, 180

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (837, 192, 960, 180) = 3.

Given numbers are 837, 192, 960, 180

The list of prime factors of all numbers are

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

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 837, 192, 960, 180 is 3.

Given numbers are 837, 192, 960, 180

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

Apply this formula for all numbers.

Step1:

LCM(837, 192) = 53568

GCD(837, 192) = ( 837 x 192 ) / 53568

= 837 / 192

= 837

Step2:

LCM(3, 960) = 960

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

= 3 / 960

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 837, 192, 960, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 305, 687, 548
• GCD of 397, 116, 289, 764
• GCD of 194, 644, 958, 575
• GCD of 415, 864, 245, 572
• GCD of 175, 482, 795, 375

Given numbers are 837, 192, 960, 180
The greatest common divisor of numbers 837, 192, 960, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 192, 960, 180 is 3.

1. What is the GCD of 837, 192, 960, 180?

GCD of given numbers 837, 192, 960, 180 is 3

2. How to calculate the greatest common divisor of 837, 192, 960, 180?

We can find the highest common divisor of 837, 192, 960, 180 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, 192, 960, 180 i.e 3.

3. How can I use the GCD of 837, 192, 960, 180Calculator?

Out the numbers 837, 192, 960, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.