GCD of 824, 108, 226, 348 Calculator

Given Input numbers are 824, 108, 226, 348

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (824, 108, 226, 348) = 2.

Given numbers are 824, 108, 226, 348

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 226 are 2 x 113

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 824, 108, 226, 348 is 2.

Given numbers are 824, 108, 226, 348

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

Apply this formula for all numbers.

Step1:

LCM(824, 108) = 22248

GCD(824, 108) = ( 824 x 108 ) / 22248

= 824 / 108

= 824

Step2:

LCM(4, 226) = 452

GCD(4, 226) = ( 4 x 226 ) / 452

= 4 / 226

= 4

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 824, 108, 226, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 999, 825, 523
• GCD of 176, 444, 298, 583
• GCD of 396, 552, 924, 995
• GCD of 288, 663, 627, 667
• GCD of 126, 710, 989, 394

Given numbers are 824, 108, 226, 348
The greatest common divisor of numbers 824, 108, 226, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 108, 226, 348 is 2.

1. What is the GCD of 824, 108, 226, 348?

GCD of given numbers 824, 108, 226, 348 is 2

2. How to calculate the greatest common divisor of 824, 108, 226, 348?

We can find the highest common divisor of 824, 108, 226, 348 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 824, 108, 226, 348 i.e 2.

3. How can I use the GCD of 824, 108, 226, 348Calculator?

Out the numbers 824, 108, 226, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.