GCD of 225, 780, 213, 828 Calculator

Given Input numbers are 225, 780, 213, 828

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 (225, 780, 213, 828) = 3.

Given numbers are 225, 780, 213, 828

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 213 are 3 x 71

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

The highest common occurrence is 3¹

Therefore, GCD of 225, 780, 213, 828 is 3.

Given numbers are 225, 780, 213, 828

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

Apply this formula for all numbers.

Step1:

LCM(225, 780) = 11700

GCD(225, 780) = ( 225 x 780 ) / 11700

= 225 / 780

= 225

Step2:

LCM(15, 213) = 1065

GCD(15, 213) = ( 15 x 213 ) / 1065

= 15 / 213

= 15

Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

So, Greatest Common Divisor of 225, 780, 213, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 196, 719, 710
• GCD of 430, 573, 277, 973
• GCD of 697, 967, 113, 951
• GCD of 929, 573, 463, 624
• GCD of 904, 635, 303, 613

Given numbers are 225, 780, 213, 828
The greatest common divisor of numbers 225, 780, 213, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 780, 213, 828 is 3.

1. What is the GCD of 225, 780, 213, 828?

GCD of given numbers 225, 780, 213, 828 is 3

2. How to calculate the greatest common divisor of 225, 780, 213, 828?

We can find the highest common divisor of 225, 780, 213, 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 225, 780, 213, 828 i.e 3.

3. How can I use the GCD of 225, 780, 213, 828Calculator?

Out the numbers 225, 780, 213, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.