GCD of 612, 825, 774, 822 Calculator

Given Input numbers are 612, 825, 774, 822

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (612, 825, 774, 822) = 3.

Given numbers are 612, 825, 774, 822

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 612, 825, 774, 822 is 3.

Given numbers are 612, 825, 774, 822

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

Apply this formula for all numbers.

Step1:

LCM(612, 825) = 168300

GCD(612, 825) = ( 612 x 825 ) / 168300

= 612 / 825

= 612

Step2:

LCM(3, 774) = 774

GCD(3, 774) = ( 3 x 774 ) / 774

= 3 / 774

= 3

Step3:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

So, Greatest Common Divisor of 612, 825, 774, 822 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 152, 814, 721
• GCD of 633, 781, 951, 443
• GCD of 378, 452, 867, 299
• GCD of 520, 377, 967, 800
• GCD of 357, 972, 684, 862

Given numbers are 612, 825, 774, 822
The greatest common divisor of numbers 612, 825, 774, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 825, 774, 822 is 3.

1. What is the GCD of 612, 825, 774, 822?

GCD of given numbers 612, 825, 774, 822 is 3

2. How to calculate the greatest common divisor of 612, 825, 774, 822?

We can find the highest common divisor of 612, 825, 774, 822 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 612, 825, 774, 822 i.e 3.

3. How can I use the GCD of 612, 825, 774, 822Calculator?

Out the numbers 612, 825, 774, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.