GCD of 392, 934, 106, 602 Calculator

Given Input numbers are 392, 934, 106, 602

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 602

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

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

Greatest Common Divisior

We found the divisors of 392, 934, 106, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 934, 106, 602 is 2.

Therefore, GCD of numbers 392, 934, 106, 602 is 2

Given Input Data is 392, 934, 106, 602

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 934 is 2 x 467

Prime Factorization of 106 is 2 x 53

Prime Factorization of 602 is 2 x 7 x 43

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(392, 934) = 183064

GCD(392, 934) = ( 392 x 934 ) / 183064

GCD(392, 934) = 366128 / 183064

GCD(392, 934) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

GCD of 392, 934, 106, 602 is 2

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1. What is the GCD of 392, 934, 106, 602?

GCD of 392, 934, 106, 602 is 2

2. Where do I get the detailed procedure to find GCD of 392, 934, 106, 602?

You can find a detailed procedure to find GCD of 392, 934, 106, 602 on our page.

3. How to find GCD of 392, 934, 106, 602 on a calculator?

You can find the GCD of 392, 934, 106, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.