GCD of 855, 729, 672, 139 Calculator

Given Input numbers are 855, 729, 672, 139

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 855, 729, 672, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 729, 672, 139 is 1.

Therefore, GCD of numbers 855, 729, 672, 139 is 1

Given Input Data is 855, 729, 672, 139

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 139 is 139

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(855, 729) = 69255

GCD(855, 729) = ( 855 x 729 ) / 69255

GCD(855, 729) = 623295 / 69255

GCD(855, 729) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 672

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

LCM(9, 672) = 2016

GCD(9, 672) = ( 9 x 672 ) / 2016

GCD(9, 672) = 6048 / 2016

GCD(9, 672) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 139

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

LCM(3, 139) = 417

GCD(3, 139) = ( 3 x 139 ) / 417

GCD(3, 139) = 417 / 417

GCD(3, 139) = 1

GCD of 855, 729, 672, 139 is 1

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1. What is the GCD of 855, 729, 672, 139?

GCD of 855, 729, 672, 139 is 1

2. Where do I get the detailed procedure to find GCD of 855, 729, 672, 139?

You can find a detailed procedure to find GCD of 855, 729, 672, 139 on our page.

3. How to find GCD of 855, 729, 672, 139 on a calculator?

You can find the GCD of 855, 729, 672, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.