GCD of 900, 690, 284, 912 Calculator

Given Input numbers are 900, 690, 284, 912

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (900, 690, 284, 912) = 2.

Given numbers are 900, 690, 284, 912

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 690 are 2 x 3 x 5 x 23

Prime factors of 284 are 2 x 2 x 71

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 900, 690, 284, 912 is 2.

Given numbers are 900, 690, 284, 912

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

Apply this formula for all numbers.

Step1:

LCM(900, 690) = 20700

GCD(900, 690) = ( 900 x 690 ) / 20700

= 900 / 690

= 900

Step2:

LCM(30, 284) = 4260

GCD(30, 284) = ( 30 x 284 ) / 4260

= 30 / 284

= 30

Step3:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

So, Greatest Common Divisor of 900, 690, 284, 912 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 885, 292, 653
• GCD of 728, 299, 515, 253
• GCD of 453, 899, 247, 326
• GCD of 160, 773, 129, 858
• GCD of 918, 772, 813, 785

Given numbers are 900, 690, 284, 912
The greatest common divisor of numbers 900, 690, 284, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 690, 284, 912 is 2.

1. What is the GCD of 900, 690, 284, 912?

GCD of given numbers 900, 690, 284, 912 is 2

2. How to calculate the greatest common divisor of 900, 690, 284, 912?

We can find the highest common divisor of 900, 690, 284, 912 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, 690, 284, 912 i.e 2.

3. How can I use the GCD of 900, 690, 284, 912Calculator?

Out the numbers 900, 690, 284, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.