GCD of 229, 152, 101 Calculator

Given Input numbers are 229, 152, 101

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 101

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

1, 101

Greatest Common Divisior

We found the divisors of 229, 152, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 152, 101 is 1.

Therefore, GCD of numbers 229, 152, 101 is 1

Given Input Data is 229, 152, 101

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

Prime Factorization of 229 is 229

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 101 is 101

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(229, 152) = 34808

GCD(229, 152) = ( 229 x 152 ) / 34808

GCD(229, 152) = 34808 / 34808

GCD(229, 152) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 229, 152, 101 is 1

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1. What is the GCD of 229, 152, 101?

GCD of 229, 152, 101 is 1

2. Where do I get the detailed procedure to find GCD of 229, 152, 101?

You can find a detailed procedure to find GCD of 229, 152, 101 on our page.

3. How to find GCD of 229, 152, 101 on a calculator?

You can find the GCD of 229, 152, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.