GCD of 348, 378, 918, 503 Calculator

Given Input numbers are 348, 378, 918, 503

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 348, 378, 918, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 378, 918, 503 is 1.

Therefore, GCD of numbers 348, 378, 918, 503 is 1

Given Input Data is 348, 378, 918, 503

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 503 is 503

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(348, 378) = 21924

GCD(348, 378) = ( 348 x 378 ) / 21924

GCD(348, 378) = 131544 / 21924

GCD(348, 378) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 918

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

LCM(6, 918) = 918

GCD(6, 918) = ( 6 x 918 ) / 918

GCD(6, 918) = 5508 / 918

GCD(6, 918) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 503

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

LCM(6, 503) = 3018

GCD(6, 503) = ( 6 x 503 ) / 3018

GCD(6, 503) = 3018 / 3018

GCD(6, 503) = 1

GCD of 348, 378, 918, 503 is 1

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1. What is the GCD of 348, 378, 918, 503?

GCD of 348, 378, 918, 503 is 1

2. Where do I get the detailed procedure to find GCD of 348, 378, 918, 503?

You can find a detailed procedure to find GCD of 348, 378, 918, 503 on our page.

3. How to find GCD of 348, 378, 918, 503 on a calculator?

You can find the GCD of 348, 378, 918, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.