GCD of 153, 943, 15, 289 Calculator

Given Input numbers are 153, 943, 15, 289

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 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 289

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

1, 17, 289

Greatest Common Divisior

We found the divisors of 153, 943, 15, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 943, 15, 289 is 1.

Therefore, GCD of numbers 153, 943, 15, 289 is 1

Given Input Data is 153, 943, 15, 289

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 943 is 23 x 41

Prime Factorization of 15 is 3 x 5

Prime Factorization of 289 is 17 x 17

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, 943) = 144279

GCD(153, 943) = ( 153 x 943 ) / 144279

GCD(153, 943) = 144279 / 144279

GCD(153, 943) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 153, 943, 15, 289 is 1

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• GCD of 315, 605, 34, 574
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1. What is the GCD of 153, 943, 15, 289?

GCD of 153, 943, 15, 289 is 1

2. Where do I get the detailed procedure to find GCD of 153, 943, 15, 289?

You can find a detailed procedure to find GCD of 153, 943, 15, 289 on our page.

3. How to find GCD of 153, 943, 15, 289 on a calculator?

You can find the GCD of 153, 943, 15, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.