GCD of 180, 753, 816, 393 Calculator

Given Input numbers are 180, 753, 816, 393

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

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (180, 753, 816, 393) = 3.

Given numbers are 180, 753, 816, 393

The list of prime factors of all numbers are

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

Prime factors of 753 are 3 x 251

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 393 are 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 180, 753, 816, 393 is 3.

Given numbers are 180, 753, 816, 393

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

Apply this formula for all numbers.

Step1:

LCM(180, 753) = 45180

GCD(180, 753) = ( 180 x 753 ) / 45180

= 180 / 753

= 180

Step2:

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

= 3 / 816

= 3

Step3:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3

So, Greatest Common Divisor of 180, 753, 816, 393 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 924, 166, 716
• GCD of 459, 279, 357, 600
• GCD of 953, 107, 510, 636
• GCD of 364, 723, 975, 844
• GCD of 102, 782, 732, 517

Given numbers are 180, 753, 816, 393
The greatest common divisor of numbers 180, 753, 816, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 753, 816, 393 is 3.

1. What is the GCD of 180, 753, 816, 393?

GCD of given numbers 180, 753, 816, 393 is 3

2. How to calculate the greatest common divisor of 180, 753, 816, 393?

We can find the highest common divisor of 180, 753, 816, 393 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 180, 753, 816, 393 i.e 3.

3. How can I use the GCD of 180, 753, 816, 393Calculator?

Out the numbers 180, 753, 816, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.