GCD of 990, 644, 870, 816 Calculator

Given Input numbers are 990, 644, 870, 816

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (990, 644, 870, 816) = 2.

Given numbers are 990, 644, 870, 816

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 644 are 2 x 2 x 7 x 23

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 990, 644, 870, 816 is 2.

Given numbers are 990, 644, 870, 816

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

Apply this formula for all numbers.

Step1:

LCM(990, 644) = 318780

GCD(990, 644) = ( 990 x 644 ) / 318780

= 990 / 644

= 990

Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

Step3:

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

= 2 / 816

= 2

So, Greatest Common Divisor of 990, 644, 870, 816 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 921, 447, 445
• GCD of 458, 814, 292, 208
• GCD of 215, 834, 513, 693
• GCD of 425, 396, 967, 467
• GCD of 966, 643, 358, 204

Given numbers are 990, 644, 870, 816
The greatest common divisor of numbers 990, 644, 870, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 644, 870, 816 is 2.

1. What is the GCD of 990, 644, 870, 816?

GCD of given numbers 990, 644, 870, 816 is 2

2. How to calculate the greatest common divisor of 990, 644, 870, 816?

We can find the highest common divisor of 990, 644, 870, 816 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, 644, 870, 816 i.e 2.

3. How can I use the GCD of 990, 644, 870, 816Calculator?

Out the numbers 990, 644, 870, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.