GCD of 312, 365, 990, 435 Calculator

Given Input numbers are 312, 365, 990, 435

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

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

GCD of numbers is the greatest common divisor

So, the GCD (312, 365, 990, 435) = 1.

Given numbers are 312, 365, 990, 435

The list of prime factors of all numbers are

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

Prime factors of 365 are 5 x 73

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 435 are 3 x 5 x 29

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

Given numbers are 312, 365, 990, 435

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

Apply this formula for all numbers.

Step1:

LCM(312, 365) = 113880

GCD(312, 365) = ( 312 x 365 ) / 113880

= 312 / 365

= 312

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

= 1 / 435

= 1

So, Greatest Common Divisor of 312, 365, 990, 435 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 134, 270, 205
• GCD of 824, 536, 427, 982
• GCD of 300, 509, 649, 743
• GCD of 535, 327, 395, 108
• GCD of 235, 861, 832, 659

Given numbers are 312, 365, 990, 435
The greatest common divisor of numbers 312, 365, 990, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 365, 990, 435 is 1.

1. What is the GCD of 312, 365, 990, 435?

GCD of given numbers 312, 365, 990, 435 is 1

2. How to calculate the greatest common divisor of 312, 365, 990, 435?

We can find the highest common divisor of 312, 365, 990, 435 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 312, 365, 990, 435 i.e 1.

3. How can I use the GCD of 312, 365, 990, 435Calculator?

Out the numbers 312, 365, 990, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.