GCD of 349, 438, 603, 366 Calculator

Given Input numbers are 349, 438, 603, 366

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 349, 438, 603, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 438, 603, 366 is 1.

Therefore, GCD of numbers 349, 438, 603, 366 is 1

Given Input Data is 349, 438, 603, 366

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

Prime Factorization of 349 is 349

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 366 is 2 x 3 x 61

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(349, 438) = 152862

GCD(349, 438) = ( 349 x 438 ) / 152862

GCD(349, 438) = 152862 / 152862

GCD(349, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 349, 438, 603, 366 is 1

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1. What is the GCD of 349, 438, 603, 366?

GCD of 349, 438, 603, 366 is 1

2. Where do I get the detailed procedure to find GCD of 349, 438, 603, 366?

You can find a detailed procedure to find GCD of 349, 438, 603, 366 on our page.

3. How to find GCD of 349, 438, 603, 366 on a calculator?

You can find the GCD of 349, 438, 603, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.