GCD of 330, 750, 735, 828 Calculator

Given Input numbers are 330, 750, 735, 828

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 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (330, 750, 735, 828) = 3.

Given numbers are 330, 750, 735, 828

The list of prime factors of all numbers are

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

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 330, 750, 735, 828 is 3.

Given numbers are 330, 750, 735, 828

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

Apply this formula for all numbers.

Step1:

LCM(330, 750) = 8250

GCD(330, 750) = ( 330 x 750 ) / 8250

= 330 / 750

= 330

Step2:

LCM(30, 735) = 1470

GCD(30, 735) = ( 30 x 735 ) / 1470

= 30 / 735

= 30

Step3:

LCM(15, 828) = 4140

GCD(15, 828) = ( 15 x 828 ) / 4140

= 15 / 828

= 15

So, Greatest Common Divisor of 330, 750, 735, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 300, 287, 190
• GCD of 276, 941, 797, 431
• GCD of 795, 643, 194, 914
• GCD of 555, 300, 733, 161
• GCD of 496, 562, 648, 195

Given numbers are 330, 750, 735, 828
The greatest common divisor of numbers 330, 750, 735, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 750, 735, 828 is 3.

1. What is the GCD of 330, 750, 735, 828?

GCD of given numbers 330, 750, 735, 828 is 3

2. How to calculate the greatest common divisor of 330, 750, 735, 828?

We can find the highest common divisor of 330, 750, 735, 828 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, 750, 735, 828 i.e 3.

3. How can I use the GCD of 330, 750, 735, 828Calculator?

Out the numbers 330, 750, 735, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.