GCD of 734, 678, 39, 853 Calculator

Given Input numbers are 734, 678, 39, 853

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 39

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

1, 3, 13, 39

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 734, 678, 39, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 678, 39, 853 is 1.

Therefore, GCD of numbers 734, 678, 39, 853 is 1

Given Input Data is 734, 678, 39, 853

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 39 is 3 x 13

Prime Factorization of 853 is 853

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, 678) = 248826

GCD(734, 678) = ( 734 x 678 ) / 248826

GCD(734, 678) = 497652 / 248826

GCD(734, 678) = 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 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 734, 678, 39, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 733, 95, 749
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• GCD of 274, 106, 83, 712

1. What is the GCD of 734, 678, 39, 853?

GCD of 734, 678, 39, 853 is 1

2. Where do I get the detailed procedure to find GCD of 734, 678, 39, 853?

You can find a detailed procedure to find GCD of 734, 678, 39, 853 on our page.

3. How to find GCD of 734, 678, 39, 853 on a calculator?

You can find the GCD of 734, 678, 39, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.