GCD of 38, 920, 539, 144 Calculator

Given Input numbers are 38, 920, 539, 144

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 38, 920, 539, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 920, 539, 144 is 1.

Therefore, GCD of numbers 38, 920, 539, 144 is 1

Given Input Data is 38, 920, 539, 144

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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, 920) = 17480

GCD(38, 920) = ( 38 x 920 ) / 17480

GCD(38, 920) = 34960 / 17480

GCD(38, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 539

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

LCM(2, 539) = 1078

GCD(2, 539) = ( 2 x 539 ) / 1078

GCD(2, 539) = 1078 / 1078

GCD(2, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 38, 920, 539, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 586, 428, 566
• GCD of 50, 228, 447, 857
• GCD of 36, 590, 509, 330
• GCD of 76, 518, 716, 209
• GCD of 19, 714, 431, 772

1. What is the GCD of 38, 920, 539, 144?

GCD of 38, 920, 539, 144 is 1

2. Where do I get the detailed procedure to find GCD of 38, 920, 539, 144?

You can find a detailed procedure to find GCD of 38, 920, 539, 144 on our page.

3. How to find GCD of 38, 920, 539, 144 on a calculator?

You can find the GCD of 38, 920, 539, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.