GCD of 186, 198, 63, 154 Calculator

Given Input numbers are 186, 198, 63, 154

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

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 186, 198, 63, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 198, 63, 154 is 1.

Therefore, GCD of numbers 186, 198, 63, 154 is 1

Given Input Data is 186, 198, 63, 154

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 154 is 2 x 7 x 11

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(186, 198) = 6138

GCD(186, 198) = ( 186 x 198 ) / 6138

GCD(186, 198) = 36828 / 6138

GCD(186, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 63

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

LCM(6, 63) = 126

GCD(6, 63) = ( 6 x 63 ) / 126

GCD(6, 63) = 378 / 126

GCD(6, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 154

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

LCM(3, 154) = 462

GCD(3, 154) = ( 3 x 154 ) / 462

GCD(3, 154) = 462 / 462

GCD(3, 154) = 1

GCD of 186, 198, 63, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 266, 37, 999
• GCD of 150, 664, 58, 768
• GCD of 506, 418, 80, 568
• GCD of 360, 384, 71, 889
• GCD of 882, 263, 93, 769

1. What is the GCD of 186, 198, 63, 154?

GCD of 186, 198, 63, 154 is 1

2. Where do I get the detailed procedure to find GCD of 186, 198, 63, 154?

You can find a detailed procedure to find GCD of 186, 198, 63, 154 on our page.

3. How to find GCD of 186, 198, 63, 154 on a calculator?

You can find the GCD of 186, 198, 63, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.