GCD of 267, 372, 438, 816 Calculator

Given Input numbers are 267, 372, 438, 816

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 438 :

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

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (267, 372, 438, 816) = 3.

Given numbers are 267, 372, 438, 816

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 438 are 2 x 3 x 73

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 267, 372, 438, 816 is 3.

Given numbers are 267, 372, 438, 816

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

Apply this formula for all numbers.

Step1:

LCM(267, 372) = 33108

GCD(267, 372) = ( 267 x 372 ) / 33108

= 267 / 372

= 267

Step2:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

Step3:

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

= 3 / 816

= 3

So, Greatest Common Divisor of 267, 372, 438, 816 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 386, 458, 843
• GCD of 537, 993, 361, 545
• GCD of 592, 483, 863, 344
• GCD of 309, 612, 181, 468
• GCD of 965, 215, 549, 811

Given numbers are 267, 372, 438, 816
The greatest common divisor of numbers 267, 372, 438, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 372, 438, 816 is 3.

1. What is the GCD of 267, 372, 438, 816?

GCD of given numbers 267, 372, 438, 816 is 3

2. How to calculate the greatest common divisor of 267, 372, 438, 816?

We can find the highest common divisor of 267, 372, 438, 816 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 267, 372, 438, 816 i.e 3.

3. How can I use the GCD of 267, 372, 438, 816Calculator?

Out the numbers 267, 372, 438, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.