GCD of 614, 364, 38, 940 Calculator

Given Input numbers are 614, 364, 38, 940

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 614, 364, 38, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 364, 38, 940 is 2.

Therefore, GCD of numbers 614, 364, 38, 940 is 2

Given Input Data is 614, 364, 38, 940

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

Prime Factorization of 614 is 2 x 307

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(614, 364) = 111748

GCD(614, 364) = ( 614 x 364 ) / 111748

GCD(614, 364) = 223496 / 111748

GCD(614, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

GCD of 614, 364, 38, 940 is 2

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1. What is the GCD of 614, 364, 38, 940?

GCD of 614, 364, 38, 940 is 2

2. Where do I get the detailed procedure to find GCD of 614, 364, 38, 940?

You can find a detailed procedure to find GCD of 614, 364, 38, 940 on our page.

3. How to find GCD of 614, 364, 38, 940 on a calculator?

You can find the GCD of 614, 364, 38, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.