GCD of 108, 684, 873, 121 Calculator

Given Input numbers are 108, 684, 873, 121

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

GCD of numbers is the greatest common divisor

So, the GCD (108, 684, 873, 121) = 1.

Given numbers are 108, 684, 873, 121

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 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 873 are 3 x 3 x 97

Prime factors of 121 are 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 684, 873, 121

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

Apply this formula for all numbers.

Step1:

LCM(108, 684) = 2052

GCD(108, 684) = ( 108 x 684 ) / 2052

= 108 / 684

= 108

Step2:

LCM(36, 873) = 3492

GCD(36, 873) = ( 36 x 873 ) / 3492

= 36 / 873

= 36

Step3:

LCM(9, 121) = 1089

GCD(9, 121) = ( 9 x 121 ) / 1089

= 9 / 121

= 9

So, Greatest Common Divisor of 108, 684, 873, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 782, 371, 892
• GCD of 141, 957, 458, 274
• GCD of 289, 936, 826, 330
• GCD of 706, 531, 518, 129
• GCD of 397, 216, 410, 275

Given numbers are 108, 684, 873, 121
The greatest common divisor of numbers 108, 684, 873, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 684, 873, 121 is 1.

1. What is the GCD of 108, 684, 873, 121?

GCD of given numbers 108, 684, 873, 121 is 1

2. How to calculate the greatest common divisor of 108, 684, 873, 121?

We can find the highest common divisor of 108, 684, 873, 121 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, 684, 873, 121 i.e 1.

3. How can I use the GCD of 108, 684, 873, 121Calculator?

Out the numbers 108, 684, 873, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.