GCD of 235, 319, 79, 172 Calculator

Given Input numbers are 235, 319, 79, 172

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

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 235, 319, 79, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 319, 79, 172 is 1.

Therefore, GCD of numbers 235, 319, 79, 172 is 1

Given Input Data is 235, 319, 79, 172

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 319 is 11 x 29

Prime Factorization of 79 is 79

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(235, 319) = 74965

GCD(235, 319) = ( 235 x 319 ) / 74965

GCD(235, 319) = 74965 / 74965

GCD(235, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 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 235, 319, 79, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 671, 16, 753
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• GCD of 603, 210, 38, 567

1. What is the GCD of 235, 319, 79, 172?

GCD of 235, 319, 79, 172 is 1

2. Where do I get the detailed procedure to find GCD of 235, 319, 79, 172?

You can find a detailed procedure to find GCD of 235, 319, 79, 172 on our page.

3. How to find GCD of 235, 319, 79, 172 on a calculator?

You can find the GCD of 235, 319, 79, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.