GCD of 602, 814, 38, 930 Calculator

Given Input numbers are 602, 814, 38, 930

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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 38

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

1, 2, 19, 38

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 602, 814, 38, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 814, 38, 930 is 2.

Therefore, GCD of numbers 602, 814, 38, 930 is 2

Given Input Data is 602, 814, 38, 930

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 38 is 2 x 19

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(602, 814) = 245014

GCD(602, 814) = ( 602 x 814 ) / 245014

GCD(602, 814) = 490028 / 245014

GCD(602, 814) = 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 930

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

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

GCD(2, 930) = 1860 / 930

GCD(2, 930) = 2

GCD of 602, 814, 38, 930 is 2

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1. What is the GCD of 602, 814, 38, 930?

GCD of 602, 814, 38, 930 is 2

2. Where do I get the detailed procedure to find GCD of 602, 814, 38, 930?

You can find a detailed procedure to find GCD of 602, 814, 38, 930 on our page.

3. How to find GCD of 602, 814, 38, 930 on a calculator?

You can find the GCD of 602, 814, 38, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.