GCD of 822, 369, 261, 831 Calculator

Given Input numbers are 822, 369, 261, 831

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (822, 369, 261, 831) = 3.

Given numbers are 822, 369, 261, 831

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 369 are 3 x 3 x 41

Prime factors of 261 are 3 x 3 x 29

Prime factors of 831 are 3 x 277

The highest common occurrence is 3¹

Therefore, GCD of 822, 369, 261, 831 is 3.

Given numbers are 822, 369, 261, 831

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

Apply this formula for all numbers.

Step1:

LCM(822, 369) = 101106

GCD(822, 369) = ( 822 x 369 ) / 101106

= 822 / 369

= 822

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

= 3 / 831

= 3

So, Greatest Common Divisor of 822, 369, 261, 831 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 556, 916, 572
• GCD of 629, 437, 474, 707
• GCD of 840, 880, 648, 727
• GCD of 252, 866, 854, 224
• GCD of 664, 974, 435, 945

Given numbers are 822, 369, 261, 831
The greatest common divisor of numbers 822, 369, 261, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 369, 261, 831 is 3.

1. What is the GCD of 822, 369, 261, 831?

GCD of given numbers 822, 369, 261, 831 is 3

2. How to calculate the greatest common divisor of 822, 369, 261, 831?

We can find the highest common divisor of 822, 369, 261, 831 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, 369, 261, 831 i.e 3.

3. How can I use the GCD of 822, 369, 261, 831Calculator?

Out the numbers 822, 369, 261, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.