GCD of 952, 816, 954, 321 Calculator

Given Input numbers are 952, 816, 954, 321

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 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 952, 816, 954, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 816, 954, 321 is 1.

Therefore, GCD of numbers 952, 816, 954, 321 is 1

Given Input Data is 952, 816, 954, 321

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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

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(952, 816) = 5712

GCD(952, 816) = ( 952 x 816 ) / 5712

GCD(952, 816) = 776832 / 5712

GCD(952, 816) = 136

Step2:

Here we consider the GCD from the above i.e. 136 as first number and the next as 954

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

LCM(136, 954) = 64872

GCD(136, 954) = ( 136 x 954 ) / 64872

GCD(136, 954) = 129744 / 64872

GCD(136, 954) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

GCD of 952, 816, 954, 321 is 1

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1. What is the GCD of 952, 816, 954, 321?

GCD of 952, 816, 954, 321 is 1

2. Where do I get the detailed procedure to find GCD of 952, 816, 954, 321?

You can find a detailed procedure to find GCD of 952, 816, 954, 321 on our page.

3. How to find GCD of 952, 816, 954, 321 on a calculator?

You can find the GCD of 952, 816, 954, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.