GCD of 432, 196, 836, 822 Calculator

Given Input numbers are 432, 196, 836, 822

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

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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 (432, 196, 836, 822) = 2.

Given numbers are 432, 196, 836, 822

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 432, 196, 836, 822 is 2.

Given numbers are 432, 196, 836, 822

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

Apply this formula for all numbers.

Step1:

LCM(432, 196) = 21168

GCD(432, 196) = ( 432 x 196 ) / 21168

= 432 / 196

= 432

Step2:

LCM(4, 836) = 836

GCD(4, 836) = ( 4 x 836 ) / 836

= 4 / 836

= 4

Step3:

LCM(4, 822) = 1644

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

= 4 / 822

= 4

So, Greatest Common Divisor of 432, 196, 836, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 269, 560, 770
• GCD of 738, 647, 430, 341
• GCD of 579, 218, 783, 654
• GCD of 337, 177, 500, 900
• GCD of 913, 632, 746, 508

Given numbers are 432, 196, 836, 822
The greatest common divisor of numbers 432, 196, 836, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 196, 836, 822 is 2.

1. What is the GCD of 432, 196, 836, 822?

GCD of given numbers 432, 196, 836, 822 is 2

2. How to calculate the greatest common divisor of 432, 196, 836, 822?

We can find the highest common divisor of 432, 196, 836, 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 432, 196, 836, 822 i.e 2.

3. How can I use the GCD of 432, 196, 836, 822Calculator?

Out the numbers 432, 196, 836, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.