GCD of 900, 990, 804, 987 Calculator

Given Input numbers are 900, 990, 804, 987

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (900, 990, 804, 987) = 3.

Given numbers are 900, 990, 804, 987

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 900, 990, 804, 987 is 3.

Given numbers are 900, 990, 804, 987

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

Apply this formula for all numbers.

Step1:

LCM(900, 990) = 9900

GCD(900, 990) = ( 900 x 990 ) / 9900

= 900 / 990

= 900

Step2:

LCM(90, 804) = 12060

GCD(90, 804) = ( 90 x 804 ) / 12060

= 90 / 804

= 90

Step3:

LCM(6, 987) = 1974

GCD(6, 987) = ( 6 x 987 ) / 1974

= 6 / 987

= 6

So, Greatest Common Divisor of 900, 990, 804, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 582, 285, 910
• GCD of 905, 501, 684, 839
• GCD of 961, 818, 846, 742
• GCD of 177, 803, 306, 786
• GCD of 548, 483, 740, 689

Given numbers are 900, 990, 804, 987
The greatest common divisor of numbers 900, 990, 804, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 990, 804, 987 is 3.

1. What is the GCD of 900, 990, 804, 987?

GCD of given numbers 900, 990, 804, 987 is 3

2. How to calculate the greatest common divisor of 900, 990, 804, 987?

We can find the highest common divisor of 900, 990, 804, 987 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 900, 990, 804, 987 i.e 3.

3. How can I use the GCD of 900, 990, 804, 987Calculator?

Out the numbers 900, 990, 804, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.