GCD of 954, 289, 88, 321 Calculator

Given Input numbers are 954, 289, 88, 321

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 289

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

1, 17, 289

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 954, 289, 88, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 289, 88, 321 is 1.

Therefore, GCD of numbers 954, 289, 88, 321 is 1

Given Input Data is 954, 289, 88, 321

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 289 is 17 x 17

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 321 is 3 x 107

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(954, 289) = 275706

GCD(954, 289) = ( 954 x 289 ) / 275706

GCD(954, 289) = 275706 / 275706

GCD(954, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 954, 289, 88, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 351, 90, 158
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• GCD of 111, 216, 43, 444
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• GCD of 387, 332, 81, 851

1. What is the GCD of 954, 289, 88, 321?

GCD of 954, 289, 88, 321 is 1

2. Where do I get the detailed procedure to find GCD of 954, 289, 88, 321?

You can find a detailed procedure to find GCD of 954, 289, 88, 321 on our page.

3. How to find GCD of 954, 289, 88, 321 on a calculator?

You can find the GCD of 954, 289, 88, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.