GCD of 348, 741, 36, 539 Calculator

Given Input numbers are 348, 741, 36, 539

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 539

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

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 348, 741, 36, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 741, 36, 539 is 1.

Therefore, GCD of numbers 348, 741, 36, 539 is 1

Given Input Data is 348, 741, 36, 539

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 539 is 7 x 7 x 11

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(348, 741) = 85956

GCD(348, 741) = ( 348 x 741 ) / 85956

GCD(348, 741) = 257868 / 85956

GCD(348, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 539

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

LCM(3, 539) = 1617

GCD(3, 539) = ( 3 x 539 ) / 1617

GCD(3, 539) = 1617 / 1617

GCD(3, 539) = 1

GCD of 348, 741, 36, 539 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 941, 95, 329
• GCD of 542, 199, 52, 863
• GCD of 824, 953, 49, 783
• GCD of 385, 864, 88, 429
• GCD of 342, 878, 35, 878

1. What is the GCD of 348, 741, 36, 539?

GCD of 348, 741, 36, 539 is 1

2. Where do I get the detailed procedure to find GCD of 348, 741, 36, 539?

You can find a detailed procedure to find GCD of 348, 741, 36, 539 on our page.

3. How to find GCD of 348, 741, 36, 539 on a calculator?

You can find the GCD of 348, 741, 36, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.