GCD of 465, 294, 172 Calculator

Given Input numbers are 465, 294, 172

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 465, 294, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 294, 172 is 1.

Therefore, GCD of numbers 465, 294, 172 is 1

Given Input Data is 465, 294, 172

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(465, 294) = 45570

GCD(465, 294) = ( 465 x 294 ) / 45570

GCD(465, 294) = 136710 / 45570

GCD(465, 294) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 172

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

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

GCD(3, 172) = 516 / 516

GCD(3, 172) = 1

GCD of 465, 294, 172 is 1

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1. What is the GCD of 465, 294, 172?

GCD of 465, 294, 172 is 1

2. Where do I get the detailed procedure to find GCD of 465, 294, 172?

You can find a detailed procedure to find GCD of 465, 294, 172 on our page.

3. How to find GCD of 465, 294, 172 on a calculator?

You can find the GCD of 465, 294, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.