GCD of 728, 761, 773, 827 Calculator

Given Input numbers are 728, 761, 773, 827

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 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

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 728, 761, 773, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 761, 773, 827 is 1.

Therefore, GCD of numbers 728, 761, 773, 827 is 1

Given Input Data is 728, 761, 773, 827

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 761 is 761

Prime Factorization of 773 is 773

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(728, 761) = 554008

GCD(728, 761) = ( 728 x 761 ) / 554008

GCD(728, 761) = 554008 / 554008

GCD(728, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 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 728, 761, 773, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 440, 760, 192
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• GCD of 559, 645, 222, 582
• GCD of 885, 560, 849, 645
• GCD of 361, 911, 914, 238

1. What is the GCD of 728, 761, 773, 827?

GCD of 728, 761, 773, 827 is 1

2. Where do I get the detailed procedure to find GCD of 728, 761, 773, 827?

You can find a detailed procedure to find GCD of 728, 761, 773, 827 on our page.

3. How to find GCD of 728, 761, 773, 827 on a calculator?

You can find the GCD of 728, 761, 773, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.