GCD of 45, 186, 209, 114 Calculator

Given Input numbers are 45, 186, 209, 114

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

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

Greatest Common Divisior

We found the divisors of 45, 186, 209, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 186, 209, 114 is 1.

Therefore, GCD of numbers 45, 186, 209, 114 is 1

Given Input Data is 45, 186, 209, 114

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 209 is 11 x 19

Prime Factorization of 114 is 2 x 3 x 19

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(45, 186) = 2790

GCD(45, 186) = ( 45 x 186 ) / 2790

GCD(45, 186) = 8370 / 2790

GCD(45, 186) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 209

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

LCM(3, 209) = 627

GCD(3, 209) = ( 3 x 209 ) / 627

GCD(3, 209) = 627 / 627

GCD(3, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

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

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 45, 186, 209, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 701, 194, 721
• GCD of 85, 625, 489, 864
• GCD of 60, 513, 271, 751
• GCD of 21, 196, 543, 111
• GCD of 81, 986, 415, 247

1. What is the GCD of 45, 186, 209, 114?

GCD of 45, 186, 209, 114 is 1

2. Where do I get the detailed procedure to find GCD of 45, 186, 209, 114?

You can find a detailed procedure to find GCD of 45, 186, 209, 114 on our page.

3. How to find GCD of 45, 186, 209, 114 on a calculator?

You can find the GCD of 45, 186, 209, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.