GCD of 38, 734, 178, 652 Calculator

Given Input numbers are 38, 734, 178, 652

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 38, 734, 178, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 734, 178, 652 is 2.

Therefore, GCD of numbers 38, 734, 178, 652 is 2

Given Input Data is 38, 734, 178, 652

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 734 is 2 x 367

Prime Factorization of 178 is 2 x 89

Prime Factorization of 652 is 2 x 2 x 163

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, 734) = 13946

GCD(38, 734) = ( 38 x 734 ) / 13946

GCD(38, 734) = 27892 / 13946

GCD(38, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 38, 734, 178, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 921, 529, 499
• GCD of 98, 577, 375, 774
• GCD of 69, 965, 336, 122
• GCD of 99, 733, 132, 574
• GCD of 72, 359, 772, 392

1. What is the GCD of 38, 734, 178, 652?

GCD of 38, 734, 178, 652 is 2

2. Where do I get the detailed procedure to find GCD of 38, 734, 178, 652?

You can find a detailed procedure to find GCD of 38, 734, 178, 652 on our page.

3. How to find GCD of 38, 734, 178, 652 on a calculator?

You can find the GCD of 38, 734, 178, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.