GCD of 49, 728, 232, 827 Calculator

Given Input numbers are 49, 728, 232, 827

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 49, 728, 232, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 728, 232, 827 is 1.

Therefore, GCD of numbers 49, 728, 232, 827 is 1

Given Input Data is 49, 728, 232, 827

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

Prime Factorization of 49 is 7 x 7

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 827 is 827

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(49, 728) = 5096

GCD(49, 728) = ( 49 x 728 ) / 5096

GCD(49, 728) = 35672 / 5096

GCD(49, 728) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 232

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

LCM(7, 232) = 1624

GCD(7, 232) = ( 7 x 232 ) / 1624

GCD(7, 232) = 1624 / 1624

GCD(7, 232) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 49, 728, 232, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 577, 441, 981
• GCD of 61, 760, 310, 675
• GCD of 68, 970, 673, 927
• GCD of 78, 412, 555, 368
• GCD of 71, 789, 689, 452

1. What is the GCD of 49, 728, 232, 827?

GCD of 49, 728, 232, 827 is 1

2. Where do I get the detailed procedure to find GCD of 49, 728, 232, 827?

You can find a detailed procedure to find GCD of 49, 728, 232, 827 on our page.

3. How to find GCD of 49, 728, 232, 827 on a calculator?

You can find the GCD of 49, 728, 232, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.