GCD of 133, 644, 912, 300 Calculator

Given Input numbers are 133, 644, 912, 300

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

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 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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (133, 644, 912, 300) = 1.

Given numbers are 133, 644, 912, 300

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

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

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 133, 644, 912, 300

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

Apply this formula for all numbers.

Step1:

LCM(133, 644) = 12236

GCD(133, 644) = ( 133 x 644 ) / 12236

= 133 / 644

= 133

Step2:

LCM(7, 912) = 6384

GCD(7, 912) = ( 7 x 912 ) / 6384

= 7 / 912

= 7

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 133, 644, 912, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 547, 560, 674
• GCD of 930, 555, 531, 556
• GCD of 431, 284, 256, 551
• GCD of 128, 869, 458, 802
• GCD of 614, 737, 495, 376

Given numbers are 133, 644, 912, 300
The greatest common divisor of numbers 133, 644, 912, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 644, 912, 300 is 1.

1. What is the GCD of 133, 644, 912, 300?

GCD of given numbers 133, 644, 912, 300 is 1

2. How to calculate the greatest common divisor of 133, 644, 912, 300?

We can find the highest common divisor of 133, 644, 912, 300 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 133, 644, 912, 300 i.e 1.

3. How can I use the GCD of 133, 644, 912, 300Calculator?

Out the numbers 133, 644, 912, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.