GCD of 912, 732, 644, 900 Calculator

Given Input numbers are 912, 732, 644, 900

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

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 (912, 732, 644, 900) = 4.

Given numbers are 912, 732, 644, 900

The list of prime factors of all numbers are

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 644 are 2 x 2 x 7 x 23

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

The highest common occurrence is 2²

Therefore, GCD of 912, 732, 644, 900 is 4.

Given numbers are 912, 732, 644, 900

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

Apply this formula for all numbers.

Step1:

LCM(912, 732) = 55632

GCD(912, 732) = ( 912 x 732 ) / 55632

= 912 / 732

= 912

Step2:

LCM(12, 644) = 1932

GCD(12, 644) = ( 12 x 644 ) / 1932

= 12 / 644

= 12

Step3:

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

= 4 / 900

= 4

So, Greatest Common Divisor of 912, 732, 644, 900 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 484, 438, 117
• GCD of 697, 447, 472, 348
• GCD of 603, 185, 459, 135
• GCD of 543, 396, 896, 117
• GCD of 768, 535, 252, 473

Given numbers are 912, 732, 644, 900
The greatest common divisor of numbers 912, 732, 644, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 732, 644, 900 is 4.

1. What is the GCD of 912, 732, 644, 900?

GCD of given numbers 912, 732, 644, 900 is 4

2. How to calculate the greatest common divisor of 912, 732, 644, 900?

We can find the highest common divisor of 912, 732, 644, 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 912, 732, 644, 900 i.e 4.

3. How can I use the GCD of 912, 732, 644, 900Calculator?

Out the numbers 912, 732, 644, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.