GCD of 436, 438, 678, 822 Calculator

Given Input numbers are 436, 438, 678, 822

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

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 438 :

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

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 (436, 438, 678, 822) = 2.

Given numbers are 436, 438, 678, 822

The list of prime factors of all numbers are

Prime factors of 436 are 2 x 2 x 109

Prime factors of 438 are 2 x 3 x 73

Prime factors of 678 are 2 x 3 x 113

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 436, 438, 678, 822 is 2.

Given numbers are 436, 438, 678, 822

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

Apply this formula for all numbers.

Step1:

LCM(436, 438) = 95484

GCD(436, 438) = ( 436 x 438 ) / 95484

= 436 / 438

= 436

Step2:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 436, 438, 678, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 939, 416, 939
• GCD of 830, 890, 688, 544
• GCD of 464, 235, 491, 512
• GCD of 267, 770, 232, 699
• GCD of 821, 572, 478, 318

Given numbers are 436, 438, 678, 822
The greatest common divisor of numbers 436, 438, 678, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 438, 678, 822 is 2.

1. What is the GCD of 436, 438, 678, 822?

GCD of given numbers 436, 438, 678, 822 is 2

2. How to calculate the greatest common divisor of 436, 438, 678, 822?

We can find the highest common divisor of 436, 438, 678, 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 436, 438, 678, 822 i.e 2.

3. How can I use the GCD of 436, 438, 678, 822Calculator?

Out the numbers 436, 438, 678, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.