GCD of 954, 164, 302 Calculator

Given Input numbers are 954, 164, 302

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 954, 164, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 164, 302 is 2.

Therefore, GCD of numbers 954, 164, 302 is 2

Given Input Data is 954, 164, 302

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 164 is 2 x 2 x 41

Prime Factorization of 302 is 2 x 151

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(954, 164) = 78228

GCD(954, 164) = ( 954 x 164 ) / 78228

GCD(954, 164) = 156456 / 78228

GCD(954, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 302

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

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

GCD(2, 302) = 604 / 302

GCD(2, 302) = 2

GCD of 954, 164, 302 is 2

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1. What is the GCD of 954, 164, 302?

GCD of 954, 164, 302 is 2

2. Where do I get the detailed procedure to find GCD of 954, 164, 302?

You can find a detailed procedure to find GCD of 954, 164, 302 on our page.

3. How to find GCD of 954, 164, 302 on a calculator?

You can find the GCD of 954, 164, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.