GCD of 209, 901, 562, 100 Calculator

Given Input numbers are 209, 901, 562, 100

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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

Greatest Common Divisior

We found the divisors of 209, 901, 562, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 901, 562, 100 is 1.

Therefore, GCD of numbers 209, 901, 562, 100 is 1

Given Input Data is 209, 901, 562, 100

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 901 is 17 x 53

Prime Factorization of 562 is 2 x 281

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

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(209, 901) = 188309

GCD(209, 901) = ( 209 x 901 ) / 188309

GCD(209, 901) = 188309 / 188309

GCD(209, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 209, 901, 562, 100 is 1

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1. What is the GCD of 209, 901, 562, 100?

GCD of 209, 901, 562, 100 is 1

2. Where do I get the detailed procedure to find GCD of 209, 901, 562, 100?

You can find a detailed procedure to find GCD of 209, 901, 562, 100 on our page.

3. How to find GCD of 209, 901, 562, 100 on a calculator?

You can find the GCD of 209, 901, 562, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.