GCD of 289, 744, 151 Calculator

Given Input numbers are 289, 744, 151

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 289, 744, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 744, 151 is 1.

Therefore, GCD of numbers 289, 744, 151 is 1

Given Input Data is 289, 744, 151

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 151 is 151

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(289, 744) = 215016

GCD(289, 744) = ( 289 x 744 ) / 215016

GCD(289, 744) = 215016 / 215016

GCD(289, 744) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 151

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

LCM(1, 151) = 151

GCD(1, 151) = ( 1 x 151 ) / 151

GCD(1, 151) = 151 / 151

GCD(1, 151) = 1

GCD of 289, 744, 151 is 1

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1. What is the GCD of 289, 744, 151?

GCD of 289, 744, 151 is 1

2. Where do I get the detailed procedure to find GCD of 289, 744, 151?

You can find a detailed procedure to find GCD of 289, 744, 151 on our page.

3. How to find GCD of 289, 744, 151 on a calculator?

You can find the GCD of 289, 744, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.