GCD of 822, 669, 723, 378 Calculator

Given Input numbers are 822, 669, 723, 378

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 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (822, 669, 723, 378) = 3.

Given numbers are 822, 669, 723, 378

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 669 are 3 x 223

Prime factors of 723 are 3 x 241

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 822, 669, 723, 378 is 3.

Given numbers are 822, 669, 723, 378

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

Apply this formula for all numbers.

Step1:

LCM(822, 669) = 183306

GCD(822, 669) = ( 822 x 669 ) / 183306

= 822 / 669

= 822

Step2:

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

= 3 / 723

= 3

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 822, 669, 723, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 594, 361, 761
• GCD of 719, 192, 342, 887
• GCD of 630, 799, 447, 299
• GCD of 479, 640, 743, 328
• GCD of 658, 614, 861, 667

Given numbers are 822, 669, 723, 378
The greatest common divisor of numbers 822, 669, 723, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 669, 723, 378 is 3.

1. What is the GCD of 822, 669, 723, 378?

GCD of given numbers 822, 669, 723, 378 is 3

2. How to calculate the greatest common divisor of 822, 669, 723, 378?

We can find the highest common divisor of 822, 669, 723, 378 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, 669, 723, 378 i.e 3.

3. How can I use the GCD of 822, 669, 723, 378Calculator?

Out the numbers 822, 669, 723, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.