GCD of 172, 147, 116, 289 Calculator

Given Input numbers are 172, 147, 116, 289

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 172, 147, 116, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 147, 116, 289 is 1.

Therefore, GCD of numbers 172, 147, 116, 289 is 1

Given Input Data is 172, 147, 116, 289

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 289 is 17 x 17

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(172, 147) = 25284

GCD(172, 147) = ( 172 x 147 ) / 25284

GCD(172, 147) = 25284 / 25284

GCD(172, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 172, 147, 116, 289 is 1

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1. What is the GCD of 172, 147, 116, 289?

GCD of 172, 147, 116, 289 is 1

2. Where do I get the detailed procedure to find GCD of 172, 147, 116, 289?

You can find a detailed procedure to find GCD of 172, 147, 116, 289 on our page.

3. How to find GCD of 172, 147, 116, 289 on a calculator?

You can find the GCD of 172, 147, 116, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.