GCD of 174, 564, 93 Calculator

Given Input numbers are 174, 564, 93

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Greatest Common Divisior

We found the divisors of 174, 564, 93 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 564, 93 is 3.

Therefore, GCD of numbers 174, 564, 93 is 3

Given Input Data is 174, 564, 93

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 93 is 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(174, 564) = 16356

GCD(174, 564) = ( 174 x 564 ) / 16356

GCD(174, 564) = 98136 / 16356

GCD(174, 564) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 93

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

LCM(6, 93) = 186

GCD(6, 93) = ( 6 x 93 ) / 186

GCD(6, 93) = 558 / 186

GCD(6, 93) = 3

GCD of 174, 564, 93 is 3

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1. What is the GCD of 174, 564, 93?

GCD of 174, 564, 93 is 3

2. Where do I get the detailed procedure to find GCD of 174, 564, 93?

You can find a detailed procedure to find GCD of 174, 564, 93 on our page.

3. How to find GCD of 174, 564, 93 on a calculator?

You can find the GCD of 174, 564, 93 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.