GCD of 822, 282, 872, 732 Calculator

Given Input numbers are 822, 282, 872, 732

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (822, 282, 872, 732) = 2.

Given numbers are 822, 282, 872, 732

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 282 are 2 x 3 x 47

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 822, 282, 872, 732 is 2.

Given numbers are 822, 282, 872, 732

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

Apply this formula for all numbers.

Step1:

LCM(822, 282) = 38634

GCD(822, 282) = ( 822 x 282 ) / 38634

= 822 / 282

= 822

Step2:

LCM(6, 872) = 2616

GCD(6, 872) = ( 6 x 872 ) / 2616

= 6 / 872

= 6

Step3:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

So, Greatest Common Divisor of 822, 282, 872, 732 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 478, 468, 287
• GCD of 901, 197, 143, 934
• GCD of 731, 791, 990, 929
• GCD of 382, 730, 622, 626
• GCD of 992, 275, 574, 336

Given numbers are 822, 282, 872, 732
The greatest common divisor of numbers 822, 282, 872, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 282, 872, 732 is 2.

1. What is the GCD of 822, 282, 872, 732?

GCD of given numbers 822, 282, 872, 732 is 2

2. How to calculate the greatest common divisor of 822, 282, 872, 732?

We can find the highest common divisor of 822, 282, 872, 732 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, 282, 872, 732 i.e 2.

3. How can I use the GCD of 822, 282, 872, 732Calculator?

Out the numbers 822, 282, 872, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.