GCD of 990, 639, 102, 450 Calculator

Given Input numbers are 990, 639, 102, 450

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 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (990, 639, 102, 450) = 3.

Given numbers are 990, 639, 102, 450

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 639 are 3 x 3 x 71

Prime factors of 102 are 2 x 3 x 17

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 990, 639, 102, 450 is 3.

Given numbers are 990, 639, 102, 450

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

Apply this formula for all numbers.

Step1:

LCM(990, 639) = 70290

GCD(990, 639) = ( 990 x 639 ) / 70290

= 990 / 639

= 990

Step2:

LCM(9, 102) = 306

GCD(9, 102) = ( 9 x 102 ) / 306

= 9 / 102

= 9

Step3:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

So, Greatest Common Divisor of 990, 639, 102, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 995, 826, 403
• GCD of 967, 232, 649, 711
• GCD of 745, 799, 905, 665
• GCD of 787, 362, 490, 998
• GCD of 404, 615, 199, 386

Given numbers are 990, 639, 102, 450
The greatest common divisor of numbers 990, 639, 102, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 639, 102, 450 is 3.

1. What is the GCD of 990, 639, 102, 450?

GCD of given numbers 990, 639, 102, 450 is 3

2. How to calculate the greatest common divisor of 990, 639, 102, 450?

We can find the highest common divisor of 990, 639, 102, 450 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, 639, 102, 450 i.e 3.

3. How can I use the GCD of 990, 639, 102, 450Calculator?

Out the numbers 990, 639, 102, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.