GCD of 114, 194, 189, 135 Calculator

Given Input numbers are 114, 194, 189, 135

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

Divisors of 114 :

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

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

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (114, 194, 189, 135) = 1.

Given numbers are 114, 194, 189, 135

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 194 are 2 x 97

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 114, 194, 189, 135

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

Apply this formula for all numbers.

Step1:

LCM(114, 194) = 11058

GCD(114, 194) = ( 114 x 194 ) / 11058

= 114 / 194

= 114

Step2:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 114, 194, 189, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 961, 430, 568
• GCD of 468, 453, 887, 405
• GCD of 803, 756, 527, 124
• GCD of 201, 102, 467, 766
• GCD of 538, 778, 505, 406

Given numbers are 114, 194, 189, 135
The greatest common divisor of numbers 114, 194, 189, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 194, 189, 135 is 1.

1. What is the GCD of 114, 194, 189, 135?

GCD of given numbers 114, 194, 189, 135 is 1

2. How to calculate the greatest common divisor of 114, 194, 189, 135?

We can find the highest common divisor of 114, 194, 189, 135 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 114, 194, 189, 135 i.e 1.

3. How can I use the GCD of 114, 194, 189, 135Calculator?

Out the numbers 114, 194, 189, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.