GCD of 100, 697, 71, 636 Calculator

Given Input numbers are 100, 697, 71, 636

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

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 697

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

1, 17, 41, 697

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 100, 697, 71, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 697, 71, 636 is 1.

Therefore, GCD of numbers 100, 697, 71, 636 is 1

Given Input Data is 100, 697, 71, 636

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

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 71 is 71

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(100, 697) = 69700

GCD(100, 697) = ( 100 x 697 ) / 69700

GCD(100, 697) = 69700 / 69700

GCD(100, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 100, 697, 71, 636 is 1

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• GCD of 231, 960, 33, 748
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1. What is the GCD of 100, 697, 71, 636?

GCD of 100, 697, 71, 636 is 1

2. Where do I get the detailed procedure to find GCD of 100, 697, 71, 636?

You can find a detailed procedure to find GCD of 100, 697, 71, 636 on our page.

3. How to find GCD of 100, 697, 71, 636 on a calculator?

You can find the GCD of 100, 697, 71, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.