GCD of 588, 924, 724, 822 Calculator

Given Input numbers are 588, 924, 724, 822

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (588, 924, 724, 822) = 2.

Given numbers are 588, 924, 724, 822

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 588, 924, 724, 822 is 2.

Given numbers are 588, 924, 724, 822

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

Apply this formula for all numbers.

Step1:

LCM(588, 924) = 6468

GCD(588, 924) = ( 588 x 924 ) / 6468

= 588 / 924

= 588

Step2:

LCM(84, 724) = 15204

GCD(84, 724) = ( 84 x 724 ) / 15204

= 84 / 724

= 84

Step3:

LCM(4, 822) = 1644

GCD(4, 822) = ( 4 x 822 ) / 1644

= 4 / 822

= 4

So, Greatest Common Divisor of 588, 924, 724, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 431, 335, 278
• GCD of 645, 428, 288, 314
• GCD of 644, 179, 320, 113
• GCD of 267, 884, 593, 737
• GCD of 517, 638, 174, 232

Given numbers are 588, 924, 724, 822
The greatest common divisor of numbers 588, 924, 724, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 924, 724, 822 is 2.

1. What is the GCD of 588, 924, 724, 822?

GCD of given numbers 588, 924, 724, 822 is 2

2. How to calculate the greatest common divisor of 588, 924, 724, 822?

We can find the highest common divisor of 588, 924, 724, 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 588, 924, 724, 822 i.e 2.

3. How can I use the GCD of 588, 924, 724, 822Calculator?

Out the numbers 588, 924, 724, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.