GCD of 954, 288, 37, 823 Calculator

Given Input numbers are 954, 288, 37, 823

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 954, 288, 37, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 288, 37, 823 is 1.

Therefore, GCD of numbers 954, 288, 37, 823 is 1

Given Input Data is 954, 288, 37, 823

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 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 37 is 37

Prime Factorization of 823 is 823

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, 288) = 15264

GCD(954, 288) = ( 954 x 288 ) / 15264

GCD(954, 288) = 274752 / 15264

GCD(954, 288) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 37

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

LCM(18, 37) = 666

GCD(18, 37) = ( 18 x 37 ) / 666

GCD(18, 37) = 666 / 666

GCD(18, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 954, 288, 37, 823 is 1

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• GCD of 462, 167, 70, 521
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1. What is the GCD of 954, 288, 37, 823?

GCD of 954, 288, 37, 823 is 1

2. Where do I get the detailed procedure to find GCD of 954, 288, 37, 823?

You can find a detailed procedure to find GCD of 954, 288, 37, 823 on our page.

3. How to find GCD of 954, 288, 37, 823 on a calculator?

You can find the GCD of 954, 288, 37, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.