GCD of 108, 113, 114 Calculator

Given Input numbers are 108, 113, 114

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 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (108, 113, 114) = 1.

Given numbers are 108, 113, 114

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 113 are 113

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 108, 113, 114

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

Apply this formula for all numbers.

Step1:

LCM(108, 113) = 12204

GCD(108, 113) = ( 108 x 113 ) / 12204

= 108 / 113

= 108

Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 108, 113, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 743, 602
• GCD of 121, 146, 305
• GCD of 429, 874, 466
• GCD of 173, 464, 739
• GCD of 922, 179, 274

Given numbers are 108, 113, 114
The greatest common divisor of numbers 108, 113, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 113, 114 is 1.

1. What is the GCD of 108, 113, 114?

GCD of given numbers 108, 113, 114 is 1

2. How to calculate the greatest common divisor of 108, 113, 114?

We can find the highest common divisor of 108, 113, 114 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, 113, 114 i.e 1.

3. How can I use the GCD of 108, 113, 114Calculator?

Out the numbers 108, 113, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.