GCD of 330, 710, 820, 300 Calculator

Given Input numbers are 330, 710, 820, 300

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 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 (330, 710, 820, 300) = 10.

Given numbers are 330, 710, 820, 300

The list of prime factors of all numbers are

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

Prime factors of 710 are 2 x 5 x 71

Prime factors of 820 are 2 x 2 x 5 x 41

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 330, 710, 820, 300 is 10.

Given numbers are 330, 710, 820, 300

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

Apply this formula for all numbers.

Step1:

LCM(330, 710) = 23430

GCD(330, 710) = ( 330 x 710 ) / 23430

= 330 / 710

= 330

Step2:

LCM(10, 820) = 820

GCD(10, 820) = ( 10 x 820 ) / 820

= 10 / 820

= 10

Step3:

LCM(10, 300) = 300

GCD(10, 300) = ( 10 x 300 ) / 300

= 10 / 300

= 10

So, Greatest Common Divisor of 330, 710, 820, 300 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 125, 314, 580
• GCD of 645, 523, 974, 131
• GCD of 570, 504, 412, 153
• GCD of 948, 393, 833, 979
• GCD of 194, 706, 149, 311

Given numbers are 330, 710, 820, 300
The greatest common divisor of numbers 330, 710, 820, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 710, 820, 300 is 10.

1. What is the GCD of 330, 710, 820, 300?

GCD of given numbers 330, 710, 820, 300 is 10

2. How to calculate the greatest common divisor of 330, 710, 820, 300?

We can find the highest common divisor of 330, 710, 820, 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 330, 710, 820, 300 i.e 10.

3. How can I use the GCD of 330, 710, 820, 300Calculator?

Out the numbers 330, 710, 820, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.