GCD of 734, 152, 39, 243 Calculator

Given Input numbers are 734, 152, 39, 243

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

Divisors of 734

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

1, 2, 367, 734

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 734, 152, 39, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 152, 39, 243 is 1.

Therefore, GCD of numbers 734, 152, 39, 243 is 1

Given Input Data is 734, 152, 39, 243

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 39 is 3 x 13

Prime Factorization of 243 is 3 x 3 x 3 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(734, 152) = 55784

GCD(734, 152) = ( 734 x 152 ) / 55784

GCD(734, 152) = 111568 / 55784

GCD(734, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 734, 152, 39, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 604, 72, 866
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• GCD of 166, 667, 13, 136
• GCD of 260, 651, 33, 963
• GCD of 933, 407, 18, 177

1. What is the GCD of 734, 152, 39, 243?

GCD of 734, 152, 39, 243 is 1

2. Where do I get the detailed procedure to find GCD of 734, 152, 39, 243?

You can find a detailed procedure to find GCD of 734, 152, 39, 243 on our page.

3. How to find GCD of 734, 152, 39, 243 on a calculator?

You can find the GCD of 734, 152, 39, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.