GCD of 822, 678, 780, 663 Calculator

Given Input numbers are 822, 678, 780, 663

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

Divisors of 822 :

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

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

GCD of numbers is the greatest common divisor

So, the GCD (822, 678, 780, 663) = 3.

Given numbers are 822, 678, 780, 663

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 663 are 3 x 13 x 17

The highest common occurrence is 3¹

Therefore, GCD of 822, 678, 780, 663 is 3.

Given numbers are 822, 678, 780, 663

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

Apply this formula for all numbers.

Step1:

LCM(822, 678) = 92886

GCD(822, 678) = ( 822 x 678 ) / 92886

= 822 / 678

= 822

Step2:

LCM(6, 780) = 780

GCD(6, 780) = ( 6 x 780 ) / 780

= 6 / 780

= 6

Step3:

LCM(6, 663) = 1326

GCD(6, 663) = ( 6 x 663 ) / 1326

= 6 / 663

= 6

So, Greatest Common Divisor of 822, 678, 780, 663 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 774, 807, 471
• GCD of 445, 356, 200, 102
• GCD of 660, 637, 638, 373
• GCD of 373, 693, 661, 630
• GCD of 558, 354, 610, 303

Given numbers are 822, 678, 780, 663
The greatest common divisor of numbers 822, 678, 780, 663 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 678, 780, 663 is 3.

1. What is the GCD of 822, 678, 780, 663?

GCD of given numbers 822, 678, 780, 663 is 3

2. How to calculate the greatest common divisor of 822, 678, 780, 663?

We can find the highest common divisor of 822, 678, 780, 663 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 822, 678, 780, 663 i.e 3.

3. How can I use the GCD of 822, 678, 780, 663Calculator?

Out the numbers 822, 678, 780, 663 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.