GCD of 330, 900, 766, 109 Calculator

Given Input numbers are 330, 900, 766, 109

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 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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (330, 900, 766, 109) = 1.

Given numbers are 330, 900, 766, 109

The list of prime factors of all numbers are

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

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

Prime factors of 766 are 2 x 383

Prime factors of 109 are 109

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

Given numbers are 330, 900, 766, 109

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

Apply this formula for all numbers.

Step1:

LCM(330, 900) = 9900

GCD(330, 900) = ( 330 x 900 ) / 9900

= 330 / 900

= 330

Step2:

LCM(30, 766) = 11490

GCD(30, 766) = ( 30 x 766 ) / 11490

= 30 / 766

= 30

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 330, 900, 766, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 260, 254, 621
• GCD of 228, 373, 236, 651
• GCD of 495, 303, 905, 343
• GCD of 921, 125, 245, 569
• GCD of 598, 908, 595, 696

Given numbers are 330, 900, 766, 109
The greatest common divisor of numbers 330, 900, 766, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 900, 766, 109 is 1.

1. What is the GCD of 330, 900, 766, 109?

GCD of given numbers 330, 900, 766, 109 is 1

2. How to calculate the greatest common divisor of 330, 900, 766, 109?

We can find the highest common divisor of 330, 900, 766, 109 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, 900, 766, 109 i.e 1.

3. How can I use the GCD of 330, 900, 766, 109Calculator?

Out the numbers 330, 900, 766, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.