GCD of 990, 688, 146, 326 Calculator

Given Input numbers are 990, 688, 146, 326

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

GCD of numbers is the greatest common divisor

So, the GCD (990, 688, 146, 326) = 2.

Given numbers are 990, 688, 146, 326

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 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 146 are 2 x 73

Prime factors of 326 are 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 990, 688, 146, 326 is 2.

Given numbers are 990, 688, 146, 326

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

Apply this formula for all numbers.

Step1:

LCM(990, 688) = 340560

GCD(990, 688) = ( 990 x 688 ) / 340560

= 990 / 688

= 990

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

Step3:

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

= 2 / 326

= 2

So, Greatest Common Divisor of 990, 688, 146, 326 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 386, 823, 514
• GCD of 443, 812, 196, 196
• GCD of 395, 523, 552, 488
• GCD of 190, 148, 141, 431
• GCD of 511, 649, 877, 789

Given numbers are 990, 688, 146, 326
The greatest common divisor of numbers 990, 688, 146, 326 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 688, 146, 326 is 2.

1. What is the GCD of 990, 688, 146, 326?

GCD of given numbers 990, 688, 146, 326 is 2

2. How to calculate the greatest common divisor of 990, 688, 146, 326?

We can find the highest common divisor of 990, 688, 146, 326 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, 688, 146, 326 i.e 2.

3. How can I use the GCD of 990, 688, 146, 326Calculator?

Out the numbers 990, 688, 146, 326 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.