GCD of 438, 432, 822, 290 Calculator

Given Input numbers are 438, 432, 822, 290

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (438, 432, 822, 290) = 2.

Given numbers are 438, 432, 822, 290

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

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 290 are 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 438, 432, 822, 290 is 2.

Given numbers are 438, 432, 822, 290

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

Apply this formula for all numbers.

Step1:

LCM(438, 432) = 31536

GCD(438, 432) = ( 438 x 432 ) / 31536

= 438 / 432

= 438

Step2:

LCM(6, 822) = 822

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

= 6 / 822

= 6

Step3:

LCM(6, 290) = 870

GCD(6, 290) = ( 6 x 290 ) / 870

= 6 / 290

= 6

So, Greatest Common Divisor of 438, 432, 822, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 839, 575, 678
• GCD of 693, 791, 525, 827
• GCD of 684, 685, 368, 193
• GCD of 939, 492, 791, 537
• GCD of 920, 400, 693, 910

Given numbers are 438, 432, 822, 290
The greatest common divisor of numbers 438, 432, 822, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 432, 822, 290 is 2.

1. What is the GCD of 438, 432, 822, 290?

GCD of given numbers 438, 432, 822, 290 is 2

2. How to calculate the greatest common divisor of 438, 432, 822, 290?

We can find the highest common divisor of 438, 432, 822, 290 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 438, 432, 822, 290 i.e 2.

3. How can I use the GCD of 438, 432, 822, 290Calculator?

Out the numbers 438, 432, 822, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.