GCD of 153, 908, 189, 419 Calculator

Given Input numbers are 153, 908, 189, 419

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 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 153, 908, 189, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 908, 189, 419 is 1.

Therefore, GCD of numbers 153, 908, 189, 419 is 1

Given Input Data is 153, 908, 189, 419

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 908 is 2 x 2 x 227

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

Prime Factorization of 419 is 419

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, 908) = 138924

GCD(153, 908) = ( 153 x 908 ) / 138924

GCD(153, 908) = 138924 / 138924

GCD(153, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 153, 908, 189, 419 is 1

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• GCD of 840, 608, 626, 550
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• GCD of 570, 494, 289, 216

1. What is the GCD of 153, 908, 189, 419?

GCD of 153, 908, 189, 419 is 1

2. Where do I get the detailed procedure to find GCD of 153, 908, 189, 419?

You can find a detailed procedure to find GCD of 153, 908, 189, 419 on our page.

3. How to find GCD of 153, 908, 189, 419 on a calculator?

You can find the GCD of 153, 908, 189, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.