GCD of 990, 315, 567 Calculator

Given Input numbers are 990, 315, 567

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

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (990, 315, 567) = 9.

Given numbers are 990, 315, 567

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

The highest common occurrence is 3²

Therefore, GCD of 990, 315, 567 is 9.

Given numbers are 990, 315, 567

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

Apply this formula for all numbers.

Step1:

LCM(990, 315) = 6930

GCD(990, 315) = ( 990 x 315 ) / 6930

= 990 / 315

= 990

Step2:

LCM(45, 567) = 2835

GCD(45, 567) = ( 45 x 567 ) / 2835

= 45 / 567

= 45

So, Greatest Common Divisor of 990, 315, 567 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 586, 150
• GCD of 329, 539, 849
• GCD of 830, 189, 537
• GCD of 864, 828, 509
• GCD of 617, 390, 625

Given numbers are 990, 315, 567
The greatest common divisor of numbers 990, 315, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 315, 567 is 9.

1. What is the GCD of 990, 315, 567?

GCD of given numbers 990, 315, 567 is 9

2. How to calculate the greatest common divisor of 990, 315, 567?

We can find the highest common divisor of 990, 315, 567 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 990, 315, 567 i.e 9.

3. How can I use the GCD of 990, 315, 567Calculator?

Out the numbers 990, 315, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.