GCD of 195, 780, 204, 813 Calculator

Given Input numbers are 195, 780, 204, 813

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (195, 780, 204, 813) = 3.

Given numbers are 195, 780, 204, 813

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

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

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 195, 780, 204, 813 is 3.

Given numbers are 195, 780, 204, 813

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

Apply this formula for all numbers.

Step1:

LCM(195, 780) = 780

GCD(195, 780) = ( 195 x 780 ) / 780

= 195 / 780

= 195

Step2:

LCM(195, 204) = 13260

GCD(195, 204) = ( 195 x 204 ) / 13260

= 195 / 204

= 195

Step3:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 195, 780, 204, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 637, 794, 777
• GCD of 657, 255, 104, 578
• GCD of 873, 700, 503, 631
• GCD of 240, 662, 738, 145
• GCD of 513, 176, 351, 745

Given numbers are 195, 780, 204, 813
The greatest common divisor of numbers 195, 780, 204, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 780, 204, 813 is 3.

1. What is the GCD of 195, 780, 204, 813?

GCD of given numbers 195, 780, 204, 813 is 3

2. How to calculate the greatest common divisor of 195, 780, 204, 813?

We can find the highest common divisor of 195, 780, 204, 813 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 195, 780, 204, 813 i.e 3.

3. How can I use the GCD of 195, 780, 204, 813Calculator?

Out the numbers 195, 780, 204, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.