GCD of 819, 699, 156, 648 Calculator

Given Input numbers are 819, 699, 156, 648

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

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (819, 699, 156, 648) = 3.

Given numbers are 819, 699, 156, 648

The list of prime factors of all numbers are

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 699 are 3 x 233

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 819, 699, 156, 648 is 3.

Given numbers are 819, 699, 156, 648

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

Apply this formula for all numbers.

Step1:

LCM(819, 699) = 190827

GCD(819, 699) = ( 819 x 699 ) / 190827

= 819 / 699

= 819

Step2:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

Step3:

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

= 3 / 648

= 3

So, Greatest Common Divisor of 819, 699, 156, 648 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 652, 299, 696
• GCD of 998, 193, 435, 774
• GCD of 495, 513, 878, 554
• GCD of 350, 843, 161, 595
• GCD of 409, 953, 554, 151

Given numbers are 819, 699, 156, 648
The greatest common divisor of numbers 819, 699, 156, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 699, 156, 648 is 3.

1. What is the GCD of 819, 699, 156, 648?

GCD of given numbers 819, 699, 156, 648 is 3

2. How to calculate the greatest common divisor of 819, 699, 156, 648?

We can find the highest common divisor of 819, 699, 156, 648 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 819, 699, 156, 648 i.e 3.

3. How can I use the GCD of 819, 699, 156, 648Calculator?

Out the numbers 819, 699, 156, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.