GCD of 153, 594, 245, 171 Calculator

Given Input numbers are 153, 594, 245, 171

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 153, 594, 245, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 594, 245, 171 is 1.

Therefore, GCD of numbers 153, 594, 245, 171 is 1

Given Input Data is 153, 594, 245, 171

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 171 is 3 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(153, 594) = 10098

GCD(153, 594) = ( 153 x 594 ) / 10098

GCD(153, 594) = 90882 / 10098

GCD(153, 594) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 245

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

LCM(9, 245) = 2205

GCD(9, 245) = ( 9 x 245 ) / 2205

GCD(9, 245) = 2205 / 2205

GCD(9, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 153, 594, 245, 171 is 1

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• GCD of 839, 107, 765, 362
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1. What is the GCD of 153, 594, 245, 171?

GCD of 153, 594, 245, 171 is 1

2. Where do I get the detailed procedure to find GCD of 153, 594, 245, 171?

You can find a detailed procedure to find GCD of 153, 594, 245, 171 on our page.

3. How to find GCD of 153, 594, 245, 171 on a calculator?

You can find the GCD of 153, 594, 245, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.