GCD of 990, 624, 802, 310 Calculator

Given Input numbers are 990, 624, 802, 310

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (990, 624, 802, 310) = 2.

Given numbers are 990, 624, 802, 310

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 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 802 are 2 x 401

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 990, 624, 802, 310 is 2.

Given numbers are 990, 624, 802, 310

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

Apply this formula for all numbers.

Step1:

LCM(990, 624) = 102960

GCD(990, 624) = ( 990 x 624 ) / 102960

= 990 / 624

= 990

Step2:

LCM(6, 802) = 2406

GCD(6, 802) = ( 6 x 802 ) / 2406

= 6 / 802

= 6

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 990, 624, 802, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 407, 521, 678
• GCD of 405, 835, 621, 364
• GCD of 113, 661, 363, 386
• GCD of 599, 472, 948, 262
• GCD of 625, 399, 410, 730

Given numbers are 990, 624, 802, 310
The greatest common divisor of numbers 990, 624, 802, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 624, 802, 310 is 2.

1. What is the GCD of 990, 624, 802, 310?

GCD of given numbers 990, 624, 802, 310 is 2

2. How to calculate the greatest common divisor of 990, 624, 802, 310?

We can find the highest common divisor of 990, 624, 802, 310 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, 624, 802, 310 i.e 2.

3. How can I use the GCD of 990, 624, 802, 310Calculator?

Out the numbers 990, 624, 802, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.