GCD of 194, 754, 134, 189 Calculator

Given Input numbers are 194, 754, 134, 189

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 194, 754, 134, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 754, 134, 189 is 1.

Therefore, GCD of numbers 194, 754, 134, 189 is 1

Given Input Data is 194, 754, 134, 189

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 134 is 2 x 67

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

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(194, 754) = 73138

GCD(194, 754) = ( 194 x 754 ) / 73138

GCD(194, 754) = 146276 / 73138

GCD(194, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

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

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

GCD of 194, 754, 134, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 580, 854, 672
• GCD of 912, 179, 190, 930
• GCD of 186, 657, 852, 374
• GCD of 336, 102, 400, 711
• GCD of 943, 556, 817, 837

1. What is the GCD of 194, 754, 134, 189?

GCD of 194, 754, 134, 189 is 1

2. Where do I get the detailed procedure to find GCD of 194, 754, 134, 189?

You can find a detailed procedure to find GCD of 194, 754, 134, 189 on our page.

3. How to find GCD of 194, 754, 134, 189 on a calculator?

You can find the GCD of 194, 754, 134, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.