GCD of 300, 180, 820 Calculator

Given Input numbers are 300, 180, 820

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

GCD of numbers is the greatest common divisor

So, the GCD (300, 180, 820) = 20.

Given numbers are 300, 180, 820

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 2² x 5¹

Therefore, GCD of 300, 180, 820 is 20.

Given numbers are 300, 180, 820

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

Apply this formula for all numbers.

Step1:

LCM(300, 180) = 900

GCD(300, 180) = ( 300 x 180 ) / 900

= 300 / 180

= 300

Step2:

LCM(60, 820) = 2460

GCD(60, 820) = ( 60 x 820 ) / 2460

= 60 / 820

= 60

So, Greatest Common Divisor of 300, 180, 820 is 20

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 202, 307
• GCD of 341, 507, 358
• GCD of 655, 754, 199
• GCD of 691, 213, 941
• GCD of 526, 323, 145

Given numbers are 300, 180, 820
The greatest common divisor of numbers 300, 180, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 180, 820 is 20.

1. What is the GCD of 300, 180, 820?

GCD of given numbers 300, 180, 820 is 20

2. How to calculate the greatest common divisor of 300, 180, 820?

We can find the highest common divisor of 300, 180, 820 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 300, 180, 820 i.e 20.

3. How can I use the GCD of 300, 180, 820Calculator?

Out the numbers 300, 180, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.