GCD of 146, 172, 537, 239 Calculator

Given Input numbers are 146, 172, 537, 239

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 146, 172, 537, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 172, 537, 239 is 1.

Therefore, GCD of numbers 146, 172, 537, 239 is 1

Given Input Data is 146, 172, 537, 239

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 537 is 3 x 179

Prime Factorization of 239 is 239

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(146, 172) = 12556

GCD(146, 172) = ( 146 x 172 ) / 12556

GCD(146, 172) = 25112 / 12556

GCD(146, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 537

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

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

GCD(2, 537) = 1074 / 1074

GCD(2, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 146, 172, 537, 239 is 1

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1. What is the GCD of 146, 172, 537, 239?

GCD of 146, 172, 537, 239 is 1

2. Where do I get the detailed procedure to find GCD of 146, 172, 537, 239?

You can find a detailed procedure to find GCD of 146, 172, 537, 239 on our page.

3. How to find GCD of 146, 172, 537, 239 on a calculator?

You can find the GCD of 146, 172, 537, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.