GCD of 858, 432, 822, 344 Calculator

Given Input numbers are 858, 432, 822, 344

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (858, 432, 822, 344) = 2.

Given numbers are 858, 432, 822, 344

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 822 are 2 x 3 x 137

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 858, 432, 822, 344 is 2.

Given numbers are 858, 432, 822, 344

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

Apply this formula for all numbers.

Step1:

LCM(858, 432) = 61776

GCD(858, 432) = ( 858 x 432 ) / 61776

= 858 / 432

= 858

Step2:

LCM(6, 822) = 822

GCD(6, 822) = ( 6 x 822 ) / 822

= 6 / 822

= 6

Step3:

LCM(6, 344) = 1032

GCD(6, 344) = ( 6 x 344 ) / 1032

= 6 / 344

= 6

So, Greatest Common Divisor of 858, 432, 822, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 887, 238, 243
• GCD of 120, 432, 112, 621
• GCD of 526, 173, 839, 442
• GCD of 661, 230, 740, 465
• GCD of 379, 561, 282, 933

Given numbers are 858, 432, 822, 344
The greatest common divisor of numbers 858, 432, 822, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 432, 822, 344 is 2.

1. What is the GCD of 858, 432, 822, 344?

GCD of given numbers 858, 432, 822, 344 is 2

2. How to calculate the greatest common divisor of 858, 432, 822, 344?

We can find the highest common divisor of 858, 432, 822, 344 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 858, 432, 822, 344 i.e 2.

3. How can I use the GCD of 858, 432, 822, 344Calculator?

Out the numbers 858, 432, 822, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.