GCD of 97, 728, 635, 849 Calculator

Given Input numbers are 97, 728, 635, 849

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 97, 728, 635, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 728, 635, 849 is 1.

Therefore, GCD of numbers 97, 728, 635, 849 is 1

Given Input Data is 97, 728, 635, 849

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

Prime Factorization of 97 is 97

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 849 is 3 x 283

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(97, 728) = 70616

GCD(97, 728) = ( 97 x 728 ) / 70616

GCD(97, 728) = 70616 / 70616

GCD(97, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 97, 728, 635, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 452, 142, 469
• GCD of 53, 738, 517, 811
• GCD of 73, 865, 182, 172
• GCD of 13, 306, 762, 409
• GCD of 70, 100, 262, 670

1. What is the GCD of 97, 728, 635, 849?

GCD of 97, 728, 635, 849 is 1

2. Where do I get the detailed procedure to find GCD of 97, 728, 635, 849?

You can find a detailed procedure to find GCD of 97, 728, 635, 849 on our page.

3. How to find GCD of 97, 728, 635, 849 on a calculator?

You can find the GCD of 97, 728, 635, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.