GCD of 108, 414, 33, 681 Calculator

Given Input numbers are 108, 414, 33, 681

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

GCD of numbers is the greatest common divisor

So, the GCD (108, 414, 33, 681) = 3.

Given numbers are 108, 414, 33, 681

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 414 are 2 x 3 x 3 x 23

Prime factors of 33 are 3 x 11

Prime factors of 681 are 3 x 227

The highest common occurrence is 3¹

Therefore, GCD of 108, 414, 33, 681 is 3.

Given numbers are 108, 414, 33, 681

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

Apply this formula for all numbers.

Step1:

LCM(108, 414) = 2484

GCD(108, 414) = ( 108 x 414 ) / 2484

= 108 / 414

= 108

Step2:

LCM(18, 33) = 198

GCD(18, 33) = ( 18 x 33 ) / 198

= 18 / 33

= 18

Step3:

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

= 3 / 681

= 3

So, Greatest Common Divisor of 108, 414, 33, 681 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 564, 81, 376
• GCD of 143, 280, 63, 191
• GCD of 147, 188, 81, 724
• GCD of 771, 518, 33, 942
• GCD of 432, 685, 27, 291

Given numbers are 108, 414, 33, 681
The greatest common divisor of numbers 108, 414, 33, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 414, 33, 681 is 3.

1. What is the GCD of 108, 414, 33, 681?

GCD of given numbers 108, 414, 33, 681 is 3

2. How to calculate the greatest common divisor of 108, 414, 33, 681?

We can find the highest common divisor of 108, 414, 33, 681 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, 414, 33, 681 i.e 3.

3. How can I use the GCD of 108, 414, 33, 681Calculator?

Out the numbers 108, 414, 33, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.