GCD of 598, 174, 668, 364 Calculator

Given Input numbers are 598, 174, 668, 364

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 598, 174, 668, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 174, 668, 364 is 2.

Therefore, GCD of numbers 598, 174, 668, 364 is 2

Given Input Data is 598, 174, 668, 364

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(598, 174) = 52026

GCD(598, 174) = ( 598 x 174 ) / 52026

GCD(598, 174) = 104052 / 52026

GCD(598, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 598, 174, 668, 364 is 2

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1. What is the GCD of 598, 174, 668, 364?

GCD of 598, 174, 668, 364 is 2

2. Where do I get the detailed procedure to find GCD of 598, 174, 668, 364?

You can find a detailed procedure to find GCD of 598, 174, 668, 364 on our page.

3. How to find GCD of 598, 174, 668, 364 on a calculator?

You can find the GCD of 598, 174, 668, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.