GCD of 378, 518, 44, 601 Calculator

Given Input numbers are 378, 518, 44, 601

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

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 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 378, 518, 44, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 518, 44, 601 is 1.

Therefore, GCD of numbers 378, 518, 44, 601 is 1

Given Input Data is 378, 518, 44, 601

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

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 601 is 601

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(378, 518) = 13986

GCD(378, 518) = ( 378 x 518 ) / 13986

GCD(378, 518) = 195804 / 13986

GCD(378, 518) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 44

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

LCM(14, 44) = 308

GCD(14, 44) = ( 14 x 44 ) / 308

GCD(14, 44) = 616 / 308

GCD(14, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 601

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

LCM(2, 601) = 1202

GCD(2, 601) = ( 2 x 601 ) / 1202

GCD(2, 601) = 1202 / 1202

GCD(2, 601) = 1

GCD of 378, 518, 44, 601 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 538, 94, 730
• GCD of 936, 196, 25, 676
• GCD of 345, 384, 21, 998
• GCD of 409, 737, 11, 820
• GCD of 881, 548, 47, 238

1. What is the GCD of 378, 518, 44, 601?

GCD of 378, 518, 44, 601 is 1

2. Where do I get the detailed procedure to find GCD of 378, 518, 44, 601?

You can find a detailed procedure to find GCD of 378, 518, 44, 601 on our page.

3. How to find GCD of 378, 518, 44, 601 on a calculator?

You can find the GCD of 378, 518, 44, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.