GCD of 326, 940, 622, 954 Calculator

Given Input numbers are 326, 940, 622, 954

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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

Greatest Common Divisior

We found the divisors of 326, 940, 622, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 940, 622, 954 is 2.

Therefore, GCD of numbers 326, 940, 622, 954 is 2

Given Input Data is 326, 940, 622, 954

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 622 is 2 x 311

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(326, 940) = 153220

GCD(326, 940) = ( 326 x 940 ) / 153220

GCD(326, 940) = 306440 / 153220

GCD(326, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 326, 940, 622, 954 is 2

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1. What is the GCD of 326, 940, 622, 954?

GCD of 326, 940, 622, 954 is 2

2. Where do I get the detailed procedure to find GCD of 326, 940, 622, 954?

You can find a detailed procedure to find GCD of 326, 940, 622, 954 on our page.

3. How to find GCD of 326, 940, 622, 954 on a calculator?

You can find the GCD of 326, 940, 622, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.