GCD of 330, 855, 900, 747 Calculator

Given Input numbers are 330, 855, 900, 747

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (330, 855, 900, 747) = 3.

Given numbers are 330, 855, 900, 747

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 855 are 3 x 3 x 5 x 19

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

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 330, 855, 900, 747 is 3.

Given numbers are 330, 855, 900, 747

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

Apply this formula for all numbers.

Step1:

LCM(330, 855) = 18810

GCD(330, 855) = ( 330 x 855 ) / 18810

= 330 / 855

= 330

Step2:

LCM(15, 900) = 900

GCD(15, 900) = ( 15 x 900 ) / 900

= 15 / 900

= 15

Step3:

LCM(15, 747) = 3735

GCD(15, 747) = ( 15 x 747 ) / 3735

= 15 / 747

= 15

So, Greatest Common Divisor of 330, 855, 900, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 833, 723, 791
• GCD of 689, 794, 296, 255
• GCD of 761, 939, 942, 665
• GCD of 727, 647, 732, 481
• GCD of 900, 871, 532, 971

Given numbers are 330, 855, 900, 747
The greatest common divisor of numbers 330, 855, 900, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 855, 900, 747 is 3.

1. What is the GCD of 330, 855, 900, 747?

GCD of given numbers 330, 855, 900, 747 is 3

2. How to calculate the greatest common divisor of 330, 855, 900, 747?

We can find the highest common divisor of 330, 855, 900, 747 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 330, 855, 900, 747 i.e 3.

3. How can I use the GCD of 330, 855, 900, 747Calculator?

Out the numbers 330, 855, 900, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.