GCD of 108, 394, 332, 678 Calculator

Given Input numbers are 108, 394, 332, 678

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (108, 394, 332, 678) = 2.

Given numbers are 108, 394, 332, 678

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 394 are 2 x 197

Prime factors of 332 are 2 x 2 x 83

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 108, 394, 332, 678 is 2.

Given numbers are 108, 394, 332, 678

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

Apply this formula for all numbers.

Step1:

LCM(108, 394) = 21276

GCD(108, 394) = ( 108 x 394 ) / 21276

= 108 / 394

= 108

Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2

Step3:

LCM(2, 678) = 678

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

= 2 / 678

= 2

So, Greatest Common Divisor of 108, 394, 332, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 358, 410, 457
• GCD of 746, 139, 671, 649
• GCD of 159, 539, 453, 380
• GCD of 875, 653, 786, 802
• GCD of 285, 630, 195, 176

Given numbers are 108, 394, 332, 678
The greatest common divisor of numbers 108, 394, 332, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 394, 332, 678 is 2.

1. What is the GCD of 108, 394, 332, 678?

GCD of given numbers 108, 394, 332, 678 is 2

2. How to calculate the greatest common divisor of 108, 394, 332, 678?

We can find the highest common divisor of 108, 394, 332, 678 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, 394, 332, 678 i.e 2.

3. How can I use the GCD of 108, 394, 332, 678Calculator?

Out the numbers 108, 394, 332, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.