GCD of 990, 556, 786, 590 Calculator

Given Input numbers are 990, 556, 786, 590

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 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (990, 556, 786, 590) = 2.

Given numbers are 990, 556, 786, 590

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 556 are 2 x 2 x 139

Prime factors of 786 are 2 x 3 x 131

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹

Therefore, GCD of 990, 556, 786, 590 is 2.

Given numbers are 990, 556, 786, 590

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

Apply this formula for all numbers.

Step1:

LCM(990, 556) = 275220

GCD(990, 556) = ( 990 x 556 ) / 275220

= 990 / 556

= 990

Step2:

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

= 2 / 786

= 2

Step3:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

So, Greatest Common Divisor of 990, 556, 786, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 977, 495, 627
• GCD of 463, 903, 477, 214
• GCD of 930, 900, 335, 274
• GCD of 808, 246, 697, 809
• GCD of 963, 615, 918, 182

Given numbers are 990, 556, 786, 590
The greatest common divisor of numbers 990, 556, 786, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 556, 786, 590 is 2.

1. What is the GCD of 990, 556, 786, 590?

GCD of given numbers 990, 556, 786, 590 is 2

2. How to calculate the greatest common divisor of 990, 556, 786, 590?

We can find the highest common divisor of 990, 556, 786, 590 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, 556, 786, 590 i.e 2.

3. How can I use the GCD of 990, 556, 786, 590Calculator?

Out the numbers 990, 556, 786, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.