GCD of 196, 423, 159, 172 Calculator

Given Input numbers are 196, 423, 159, 172

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 196, 423, 159, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 423, 159, 172 is 1.

Therefore, GCD of numbers 196, 423, 159, 172 is 1

Given Input Data is 196, 423, 159, 172

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 159 is 3 x 53

Prime Factorization of 172 is 2 x 2 x 43

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(196, 423) = 82908

GCD(196, 423) = ( 196 x 423 ) / 82908

GCD(196, 423) = 82908 / 82908

GCD(196, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 196, 423, 159, 172 is 1

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• GCD of 612, 978, 283, 289
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• GCD of 935, 608, 666, 601

1. What is the GCD of 196, 423, 159, 172?

GCD of 196, 423, 159, 172 is 1

2. Where do I get the detailed procedure to find GCD of 196, 423, 159, 172?

You can find a detailed procedure to find GCD of 196, 423, 159, 172 on our page.

3. How to find GCD of 196, 423, 159, 172 on a calculator?

You can find the GCD of 196, 423, 159, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.