GCD of 990, 820, 409, 916 Calculator

Given Input numbers are 990, 820, 409, 916

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (990, 820, 409, 916) = 1.

Given numbers are 990, 820, 409, 916

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 820 are 2 x 2 x 5 x 41

Prime factors of 409 are 409

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 990, 820, 409, 916

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

Apply this formula for all numbers.

Step1:

LCM(990, 820) = 81180

GCD(990, 820) = ( 990 x 820 ) / 81180

= 990 / 820

= 990

Step2:

LCM(10, 409) = 4090

GCD(10, 409) = ( 10 x 409 ) / 4090

= 10 / 409

= 10

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 990, 820, 409, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 445, 248, 915
• GCD of 923, 424, 465, 622
• GCD of 502, 563, 529, 574
• GCD of 783, 850, 256, 325
• GCD of 565, 361, 811, 202

Given numbers are 990, 820, 409, 916
The greatest common divisor of numbers 990, 820, 409, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 820, 409, 916 is 1.

1. What is the GCD of 990, 820, 409, 916?

GCD of given numbers 990, 820, 409, 916 is 1

2. How to calculate the greatest common divisor of 990, 820, 409, 916?

We can find the highest common divisor of 990, 820, 409, 916 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, 820, 409, 916 i.e 1.

3. How can I use the GCD of 990, 820, 409, 916Calculator?

Out the numbers 990, 820, 409, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.