GCD of 172, 319, 949, 421 Calculator

Given Input numbers are 172, 319, 949, 421

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 319

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

1, 11, 29, 319

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 172, 319, 949, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 319, 949, 421 is 1.

Therefore, GCD of numbers 172, 319, 949, 421 is 1

Given Input Data is 172, 319, 949, 421

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 319 is 11 x 29

Prime Factorization of 949 is 13 x 73

Prime Factorization of 421 is 421

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, 319) = 54868

GCD(172, 319) = ( 172 x 319 ) / 54868

GCD(172, 319) = 54868 / 54868

GCD(172, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 172, 319, 949, 421 is 1

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1. What is the GCD of 172, 319, 949, 421?

GCD of 172, 319, 949, 421 is 1

2. Where do I get the detailed procedure to find GCD of 172, 319, 949, 421?

You can find a detailed procedure to find GCD of 172, 319, 949, 421 on our page.

3. How to find GCD of 172, 319, 949, 421 on a calculator?

You can find the GCD of 172, 319, 949, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.