GCD of 604, 718, 342, 380 Calculator

Given Input numbers are 604, 718, 342, 380

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 604, 718, 342, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 718, 342, 380 is 2.

Therefore, GCD of numbers 604, 718, 342, 380 is 2

Given Input Data is 604, 718, 342, 380

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 718 is 2 x 359

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(604, 718) = 216836

GCD(604, 718) = ( 604 x 718 ) / 216836

GCD(604, 718) = 433672 / 216836

GCD(604, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

GCD of 604, 718, 342, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 960, 668, 281
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• GCD of 359, 503, 145, 947

1. What is the GCD of 604, 718, 342, 380?

GCD of 604, 718, 342, 380 is 2

2. Where do I get the detailed procedure to find GCD of 604, 718, 342, 380?

You can find a detailed procedure to find GCD of 604, 718, 342, 380 on our page.

3. How to find GCD of 604, 718, 342, 380 on a calculator?

You can find the GCD of 604, 718, 342, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.