GCD of 101, 909, 652, 608 Calculator

Given Input numbers are 101, 909, 652, 608

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 101, 909, 652, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 909, 652, 608 is 1.

Therefore, GCD of numbers 101, 909, 652, 608 is 1

Given Input Data is 101, 909, 652, 608

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

Prime Factorization of 101 is 101

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(101, 909) = 909

GCD(101, 909) = ( 101 x 909 ) / 909

GCD(101, 909) = 91809 / 909

GCD(101, 909) = 101

Step2:

Here we consider the GCD from the above i.e. 101 as first number and the next as 652

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

LCM(101, 652) = 65852

GCD(101, 652) = ( 101 x 652 ) / 65852

GCD(101, 652) = 65852 / 65852

GCD(101, 652) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 101, 909, 652, 608 is 1

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1. What is the GCD of 101, 909, 652, 608?

GCD of 101, 909, 652, 608 is 1

2. Where do I get the detailed procedure to find GCD of 101, 909, 652, 608?

You can find a detailed procedure to find GCD of 101, 909, 652, 608 on our page.

3. How to find GCD of 101, 909, 652, 608 on a calculator?

You can find the GCD of 101, 909, 652, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.