GCD of 724, 582, 178 Calculator

Given Input numbers are 724, 582, 178

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 724, 582, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 582, 178 is 2.

Therefore, GCD of numbers 724, 582, 178 is 2

Given Input Data is 724, 582, 178

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 178 is 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(724, 582) = 210684

GCD(724, 582) = ( 724 x 582 ) / 210684

GCD(724, 582) = 421368 / 210684

GCD(724, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 724, 582, 178 is 2

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1. What is the GCD of 724, 582, 178?

GCD of 724, 582, 178 is 2

2. Where do I get the detailed procedure to find GCD of 724, 582, 178?

You can find a detailed procedure to find GCD of 724, 582, 178 on our page.

3. How to find GCD of 724, 582, 178 on a calculator?

You can find the GCD of 724, 582, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.