GCD of 454, 966, 412, 950 Calculator

Given Input numbers are 454, 966, 412, 950

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 454, 966, 412, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 966, 412, 950 is 2.

Therefore, GCD of numbers 454, 966, 412, 950 is 2

Given Input Data is 454, 966, 412, 950

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 950 is 2 x 5 x 5 x 19

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(454, 966) = 219282

GCD(454, 966) = ( 454 x 966 ) / 219282

GCD(454, 966) = 438564 / 219282

GCD(454, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

GCD of 454, 966, 412, 950 is 2

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1. What is the GCD of 454, 966, 412, 950?

GCD of 454, 966, 412, 950 is 2

2. Where do I get the detailed procedure to find GCD of 454, 966, 412, 950?

You can find a detailed procedure to find GCD of 454, 966, 412, 950 on our page.

3. How to find GCD of 454, 966, 412, 950 on a calculator?

You can find the GCD of 454, 966, 412, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.