GCD of 290, 990, 300 Calculator

Given Input numbers are 290, 990, 300

In the factoring method, we have to find the divisors of all numbers

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (290, 990, 300) = 10.

Given numbers are 290, 990, 300

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 290, 990, 300 is 10.

Given numbers are 290, 990, 300

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

Apply this formula for all numbers.

Step1:

LCM(290, 990) = 28710

GCD(290, 990) = ( 290 x 990 ) / 28710

= 290 / 990

= 290

Step2:

LCM(10, 300) = 300

GCD(10, 300) = ( 10 x 300 ) / 300

= 10 / 300

= 10

So, Greatest Common Divisor of 290, 990, 300 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 494, 747
• GCD of 275, 594, 353
• GCD of 916, 301, 767
• GCD of 960, 141, 111
• GCD of 933, 177, 222

Given numbers are 290, 990, 300
The greatest common divisor of numbers 290, 990, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 990, 300 is 10.

1. What is the GCD of 290, 990, 300?

GCD of given numbers 290, 990, 300 is 10

2. How to calculate the greatest common divisor of 290, 990, 300?

We can find the highest common divisor of 290, 990, 300 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 290, 990, 300 i.e 10.

3. How can I use the GCD of 290, 990, 300Calculator?

Out the numbers 290, 990, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.