GCD of 180, 993, 325, 312 Calculator

Given Input numbers are 180, 993, 325, 312

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 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (180, 993, 325, 312) = 1.

Given numbers are 180, 993, 325, 312

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 993 are 3 x 331

Prime factors of 325 are 5 x 5 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 180, 993, 325, 312

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

Apply this formula for all numbers.

Step1:

LCM(180, 993) = 59580

GCD(180, 993) = ( 180 x 993 ) / 59580

= 180 / 993

= 180

Step2:

LCM(3, 325) = 975

GCD(3, 325) = ( 3 x 325 ) / 975

= 3 / 325

= 3

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 180, 993, 325, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 317, 518, 393
• GCD of 142, 530, 637, 780
• GCD of 232, 974, 210, 575
• GCD of 519, 712, 168, 508
• GCD of 300, 120, 709, 159

Given numbers are 180, 993, 325, 312
The greatest common divisor of numbers 180, 993, 325, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 993, 325, 312 is 1.

1. What is the GCD of 180, 993, 325, 312?

GCD of given numbers 180, 993, 325, 312 is 1

2. How to calculate the greatest common divisor of 180, 993, 325, 312?

We can find the highest common divisor of 180, 993, 325, 312 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, 993, 325, 312 i.e 1.

3. How can I use the GCD of 180, 993, 325, 312Calculator?

Out the numbers 180, 993, 325, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.