GCD of 153, 261, 218 Calculator

Given Input numbers are 153, 261, 218

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 153, 261, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 261, 218 is 1.

Therefore, GCD of numbers 153, 261, 218 is 1

Given Input Data is 153, 261, 218

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 218 is 2 x 109

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(153, 261) = 4437

GCD(153, 261) = ( 153 x 261 ) / 4437

GCD(153, 261) = 39933 / 4437

GCD(153, 261) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 218

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

LCM(9, 218) = 1962

GCD(9, 218) = ( 9 x 218 ) / 1962

GCD(9, 218) = 1962 / 1962

GCD(9, 218) = 1

GCD of 153, 261, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 140, 851
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• GCD of 479, 893, 958
• GCD of 999, 381, 834
• GCD of 174, 914, 970

1. What is the GCD of 153, 261, 218?

GCD of 153, 261, 218 is 1

2. Where do I get the detailed procedure to find GCD of 153, 261, 218?

You can find a detailed procedure to find GCD of 153, 261, 218 on our page.

3. How to find GCD of 153, 261, 218 on a calculator?

You can find the GCD of 153, 261, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.