GCD of 178, 675, 17, 149 Calculator

Given Input numbers are 178, 675, 17, 149

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 178, 675, 17, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 675, 17, 149 is 1.

Therefore, GCD of numbers 178, 675, 17, 149 is 1

Given Input Data is 178, 675, 17, 149

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 17 is 17

Prime Factorization of 149 is 149

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(178, 675) = 120150

GCD(178, 675) = ( 178 x 675 ) / 120150

GCD(178, 675) = 120150 / 120150

GCD(178, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 178, 675, 17, 149 is 1

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1. What is the GCD of 178, 675, 17, 149?

GCD of 178, 675, 17, 149 is 1

2. Where do I get the detailed procedure to find GCD of 178, 675, 17, 149?

You can find a detailed procedure to find GCD of 178, 675, 17, 149 on our page.

3. How to find GCD of 178, 675, 17, 149 on a calculator?

You can find the GCD of 178, 675, 17, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.