GCD of 824, 406, 842, 872 Calculator

Given Input numbers are 824, 406, 842, 872

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 872 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (824, 406, 842, 872) = 2.

Given numbers are 824, 406, 842, 872

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 406 are 2 x 7 x 29

Prime factors of 842 are 2 x 421

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

The highest common occurrence is 2¹

Therefore, GCD of 824, 406, 842, 872 is 2.

Given numbers are 824, 406, 842, 872

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

Apply this formula for all numbers.

Step1:

LCM(824, 406) = 167272

GCD(824, 406) = ( 824 x 406 ) / 167272

= 824 / 406

= 824

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 824, 406, 842, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 419, 819, 295
• GCD of 369, 967, 604, 547
• GCD of 578, 512, 945, 230
• GCD of 398, 217, 112, 532
• GCD of 413, 338, 776, 129

Given numbers are 824, 406, 842, 872
The greatest common divisor of numbers 824, 406, 842, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 406, 842, 872 is 2.

1. What is the GCD of 824, 406, 842, 872?

GCD of given numbers 824, 406, 842, 872 is 2

2. How to calculate the greatest common divisor of 824, 406, 842, 872?

We can find the highest common divisor of 824, 406, 842, 872 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 824, 406, 842, 872 i.e 2.

3. How can I use the GCD of 824, 406, 842, 872Calculator?

Out the numbers 824, 406, 842, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.