GCD of 108, 294, 932, 422 Calculator

Given Input numbers are 108, 294, 932, 422

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

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (108, 294, 932, 422) = 2.

Given numbers are 108, 294, 932, 422

The list of prime factors of all numbers are

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 932 are 2 x 2 x 233

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 108, 294, 932, 422 is 2.

Given numbers are 108, 294, 932, 422

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

Apply this formula for all numbers.

Step1:

LCM(108, 294) = 5292

GCD(108, 294) = ( 108 x 294 ) / 5292

= 108 / 294

= 108

Step2:

LCM(6, 932) = 2796

GCD(6, 932) = ( 6 x 932 ) / 2796

= 6 / 932

= 6

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 108, 294, 932, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 712, 896, 227
• GCD of 106, 632, 543, 501
• GCD of 363, 113, 481, 900
• GCD of 768, 414, 595, 562
• GCD of 410, 405, 378, 408

Given numbers are 108, 294, 932, 422
The greatest common divisor of numbers 108, 294, 932, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 294, 932, 422 is 2.

1. What is the GCD of 108, 294, 932, 422?

GCD of given numbers 108, 294, 932, 422 is 2

2. How to calculate the greatest common divisor of 108, 294, 932, 422?

We can find the highest common divisor of 108, 294, 932, 422 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 108, 294, 932, 422 i.e 2.

3. How can I use the GCD of 108, 294, 932, 422Calculator?

Out the numbers 108, 294, 932, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.