GCD of 38, 302, 758, 694 Calculator

Given Input numbers are 38, 302, 758, 694

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 38, 302, 758, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 302, 758, 694 is 2.

Therefore, GCD of numbers 38, 302, 758, 694 is 2

Given Input Data is 38, 302, 758, 694

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 302 is 2 x 151

Prime Factorization of 758 is 2 x 379

Prime Factorization of 694 is 2 x 347

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(38, 302) = 5738

GCD(38, 302) = ( 38 x 302 ) / 5738

GCD(38, 302) = 11476 / 5738

GCD(38, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 38, 302, 758, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 189, 782, 363
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• GCD of 66, 294, 411, 416
• GCD of 20, 826, 480, 151
• GCD of 45, 186, 209, 114

1. What is the GCD of 38, 302, 758, 694?

GCD of 38, 302, 758, 694 is 2

2. Where do I get the detailed procedure to find GCD of 38, 302, 758, 694?

You can find a detailed procedure to find GCD of 38, 302, 758, 694 on our page.

3. How to find GCD of 38, 302, 758, 694 on a calculator?

You can find the GCD of 38, 302, 758, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.