GCD of 958, 206, 312, 466 Calculator

Given Input numbers are 958, 206, 312, 466

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 958, 206, 312, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 206, 312, 466 is 2.

Therefore, GCD of numbers 958, 206, 312, 466 is 2

Given Input Data is 958, 206, 312, 466

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 206 is 2 x 103

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 466 is 2 x 233

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(958, 206) = 98674

GCD(958, 206) = ( 958 x 206 ) / 98674

GCD(958, 206) = 197348 / 98674

GCD(958, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 958, 206, 312, 466 is 2

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1. What is the GCD of 958, 206, 312, 466?

GCD of 958, 206, 312, 466 is 2

2. Where do I get the detailed procedure to find GCD of 958, 206, 312, 466?

You can find a detailed procedure to find GCD of 958, 206, 312, 466 on our page.

3. How to find GCD of 958, 206, 312, 466 on a calculator?

You can find the GCD of 958, 206, 312, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.