GCD of 100, 189, 174 Calculator

Given Input numbers are 100, 189, 174

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 100, 189, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 189, 174 is 1.

Therefore, GCD of numbers 100, 189, 174 is 1

Given Input Data is 100, 189, 174

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 174 is 2 x 3 x 29

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(100, 189) = 18900

GCD(100, 189) = ( 100 x 189 ) / 18900

GCD(100, 189) = 18900 / 18900

GCD(100, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 100, 189, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 942, 305
• GCD of 926, 490, 560
• GCD of 212, 626, 697
• GCD of 606, 534, 470
• GCD of 816, 269, 596

1. What is the GCD of 100, 189, 174?

GCD of 100, 189, 174 is 1

2. Where do I get the detailed procedure to find GCD of 100, 189, 174?

You can find a detailed procedure to find GCD of 100, 189, 174 on our page.

3. How to find GCD of 100, 189, 174 on a calculator?

You can find the GCD of 100, 189, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.