GCD of 728, 863, 832, 138 Calculator

Given Input numbers are 728, 863, 832, 138

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 728, 863, 832, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 863, 832, 138 is 1.

Therefore, GCD of numbers 728, 863, 832, 138 is 1

Given Input Data is 728, 863, 832, 138

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 863 is 863

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 138 is 2 x 3 x 23

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(728, 863) = 628264

GCD(728, 863) = ( 728 x 863 ) / 628264

GCD(728, 863) = 628264 / 628264

GCD(728, 863) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 728, 863, 832, 138 is 1

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1. What is the GCD of 728, 863, 832, 138?

GCD of 728, 863, 832, 138 is 1

2. Where do I get the detailed procedure to find GCD of 728, 863, 832, 138?

You can find a detailed procedure to find GCD of 728, 863, 832, 138 on our page.

3. How to find GCD of 728, 863, 832, 138 on a calculator?

You can find the GCD of 728, 863, 832, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.