GCD of 664, 288, 814, 900 Calculator

Given Input numbers are 664, 288, 814, 900

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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

GCD of numbers is the greatest common divisor

So, the GCD (664, 288, 814, 900) = 2.

Given numbers are 664, 288, 814, 900

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 814 are 2 x 11 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 664, 288, 814, 900 is 2.

Given numbers are 664, 288, 814, 900

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

Apply this formula for all numbers.

Step1:

LCM(664, 288) = 23904

GCD(664, 288) = ( 664 x 288 ) / 23904

= 664 / 288

= 664

Step2:

LCM(8, 814) = 3256

GCD(8, 814) = ( 8 x 814 ) / 3256

= 8 / 814

= 8

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 664, 288, 814, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 846, 489, 799
• GCD of 216, 999, 483, 668
• GCD of 102, 591, 712, 387
• GCD of 466, 883, 694, 287
• GCD of 844, 158, 545, 652

Given numbers are 664, 288, 814, 900
The greatest common divisor of numbers 664, 288, 814, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 288, 814, 900 is 2.

1. What is the GCD of 664, 288, 814, 900?

GCD of given numbers 664, 288, 814, 900 is 2

2. How to calculate the greatest common divisor of 664, 288, 814, 900?

We can find the highest common divisor of 664, 288, 814, 900 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 664, 288, 814, 900 i.e 2.

3. How can I use the GCD of 664, 288, 814, 900Calculator?

Out the numbers 664, 288, 814, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.