GCD of 822, 924, 198, 276 Calculator

Given Input numbers are 822, 924, 198, 276

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

GCD of numbers is the greatest common divisor

So, the GCD (822, 924, 198, 276) = 6.

Given numbers are 822, 924, 198, 276

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 822, 924, 198, 276 is 6.

Given numbers are 822, 924, 198, 276

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

Apply this formula for all numbers.

Step1:

LCM(822, 924) = 126588

GCD(822, 924) = ( 822 x 924 ) / 126588

= 822 / 924

= 822

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

Step3:

LCM(6, 276) = 276

GCD(6, 276) = ( 6 x 276 ) / 276

= 6 / 276

= 6

So, Greatest Common Divisor of 822, 924, 198, 276 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 107, 783, 540
• GCD of 994, 945, 434, 595
• GCD of 570, 428, 836, 435
• GCD of 439, 926, 335, 574
• GCD of 510, 708, 784, 900

Given numbers are 822, 924, 198, 276
The greatest common divisor of numbers 822, 924, 198, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 924, 198, 276 is 6.

1. What is the GCD of 822, 924, 198, 276?

GCD of given numbers 822, 924, 198, 276 is 6

2. How to calculate the greatest common divisor of 822, 924, 198, 276?

We can find the highest common divisor of 822, 924, 198, 276 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, 924, 198, 276 i.e 6.

3. How can I use the GCD of 822, 924, 198, 276Calculator?

Out the numbers 822, 924, 198, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.