GCD of 990, 246, 687, 690 Calculator

Given Input numbers are 990, 246, 687, 690

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 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (990, 246, 687, 690) = 3.

Given numbers are 990, 246, 687, 690

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 246 are 2 x 3 x 41

Prime factors of 687 are 3 x 229

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 990, 246, 687, 690 is 3.

Given numbers are 990, 246, 687, 690

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

Apply this formula for all numbers.

Step1:

LCM(990, 246) = 40590

GCD(990, 246) = ( 990 x 246 ) / 40590

= 990 / 246

= 990

Step2:

LCM(6, 687) = 1374

GCD(6, 687) = ( 6 x 687 ) / 1374

= 6 / 687

= 6

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 990, 246, 687, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 823, 960, 699
• GCD of 403, 341, 731, 115
• GCD of 173, 445, 678, 110
• GCD of 846, 599, 898, 674
• GCD of 941, 856, 326, 683

Given numbers are 990, 246, 687, 690
The greatest common divisor of numbers 990, 246, 687, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 246, 687, 690 is 3.

1. What is the GCD of 990, 246, 687, 690?

GCD of given numbers 990, 246, 687, 690 is 3

2. How to calculate the greatest common divisor of 990, 246, 687, 690?

We can find the highest common divisor of 990, 246, 687, 690 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, 246, 687, 690 i.e 3.

3. How can I use the GCD of 990, 246, 687, 690Calculator?

Out the numbers 990, 246, 687, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.