GCD of 330, 915, 75, 650 Calculator

Given Input numbers are 330, 915, 75, 650

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 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (330, 915, 75, 650) = 5.

Given numbers are 330, 915, 75, 650

The list of prime factors of all numbers are

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

Prime factors of 915 are 3 x 5 x 61

Prime factors of 75 are 3 x 5 x 5

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 330, 915, 75, 650 is 5.

Given numbers are 330, 915, 75, 650

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

Apply this formula for all numbers.

Step1:

LCM(330, 915) = 20130

GCD(330, 915) = ( 330 x 915 ) / 20130

= 330 / 915

= 330

Step2:

LCM(15, 75) = 75

GCD(15, 75) = ( 15 x 75 ) / 75

= 15 / 75

= 15

Step3:

LCM(15, 650) = 1950

GCD(15, 650) = ( 15 x 650 ) / 1950

= 15 / 650

= 15

So, Greatest Common Divisor of 330, 915, 75, 650 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 118, 88, 671
• GCD of 586, 432, 72, 185
• GCD of 742, 115, 20, 503
• GCD of 600, 322, 84, 583
• GCD of 268, 988, 65, 691

Given numbers are 330, 915, 75, 650
The greatest common divisor of numbers 330, 915, 75, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 915, 75, 650 is 5.

1. What is the GCD of 330, 915, 75, 650?

GCD of given numbers 330, 915, 75, 650 is 5

2. How to calculate the greatest common divisor of 330, 915, 75, 650?

We can find the highest common divisor of 330, 915, 75, 650 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, 915, 75, 650 i.e 5.

3. How can I use the GCD of 330, 915, 75, 650Calculator?

Out the numbers 330, 915, 75, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.