GCD of 102, 100, 813, 697 Calculator

Given Input numbers are 102, 100, 813, 697

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 102, 100, 813, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 100, 813, 697 is 1.

Therefore, GCD of numbers 102, 100, 813, 697 is 1

Given Input Data is 102, 100, 813, 697

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 813 is 3 x 271

Prime Factorization of 697 is 17 x 41

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(102, 100) = 5100

GCD(102, 100) = ( 102 x 100 ) / 5100

GCD(102, 100) = 10200 / 5100

GCD(102, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 102, 100, 813, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 359, 844, 653
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1. What is the GCD of 102, 100, 813, 697?

GCD of 102, 100, 813, 697 is 1

2. Where do I get the detailed procedure to find GCD of 102, 100, 813, 697?

You can find a detailed procedure to find GCD of 102, 100, 813, 697 on our page.

3. How to find GCD of 102, 100, 813, 697 on a calculator?

You can find the GCD of 102, 100, 813, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.