GCD of 990, 918, 825, 815 Calculator

Given Input numbers are 990, 918, 825, 815

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

GCD of numbers is the greatest common divisor

So, the GCD (990, 918, 825, 815) = 1.

Given numbers are 990, 918, 825, 815

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 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 815 are 5 x 163

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

Given numbers are 990, 918, 825, 815

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

Apply this formula for all numbers.

Step1:

LCM(990, 918) = 50490

GCD(990, 918) = ( 990 x 918 ) / 50490

= 990 / 918

= 990

Step2:

LCM(18, 825) = 4950

GCD(18, 825) = ( 18 x 825 ) / 4950

= 18 / 825

= 18

Step3:

LCM(3, 815) = 2445

GCD(3, 815) = ( 3 x 815 ) / 2445

= 3 / 815

= 3

So, Greatest Common Divisor of 990, 918, 825, 815 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 680, 381, 154
• GCD of 720, 136, 617, 483
• GCD of 597, 207, 372, 527
• GCD of 938, 952, 133, 731
• GCD of 928, 536, 236, 588

Given numbers are 990, 918, 825, 815
The greatest common divisor of numbers 990, 918, 825, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 918, 825, 815 is 1.

1. What is the GCD of 990, 918, 825, 815?

GCD of given numbers 990, 918, 825, 815 is 1

2. How to calculate the greatest common divisor of 990, 918, 825, 815?

We can find the highest common divisor of 990, 918, 825, 815 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, 918, 825, 815 i.e 1.

3. How can I use the GCD of 990, 918, 825, 815Calculator?

Out the numbers 990, 918, 825, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.