GCD of 322, 948, 893, 366 Calculator

Given Input numbers are 322, 948, 893, 366

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 322, 948, 893, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 948, 893, 366 is 1.

Therefore, GCD of numbers 322, 948, 893, 366 is 1

Given Input Data is 322, 948, 893, 366

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 893 is 19 x 47

Prime Factorization of 366 is 2 x 3 x 61

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(322, 948) = 152628

GCD(322, 948) = ( 322 x 948 ) / 152628

GCD(322, 948) = 305256 / 152628

GCD(322, 948) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 893

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

LCM(2, 893) = 1786

GCD(2, 893) = ( 2 x 893 ) / 1786

GCD(2, 893) = 1786 / 1786

GCD(2, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 322, 948, 893, 366 is 1

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1. What is the GCD of 322, 948, 893, 366?

GCD of 322, 948, 893, 366 is 1

2. Where do I get the detailed procedure to find GCD of 322, 948, 893, 366?

You can find a detailed procedure to find GCD of 322, 948, 893, 366 on our page.

3. How to find GCD of 322, 948, 893, 366 on a calculator?

You can find the GCD of 322, 948, 893, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.