GCD of 224, 958, 466, 588 Calculator

Given Input numbers are 224, 958, 466, 588

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 958

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

1, 2, 479, 958

Divisors of 466

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

1, 2, 233, 466

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 224, 958, 466, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 958, 466, 588 is 2.

Therefore, GCD of numbers 224, 958, 466, 588 is 2

Given Input Data is 224, 958, 466, 588

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 958 is 2 x 479

Prime Factorization of 466 is 2 x 233

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(224, 958) = 107296

GCD(224, 958) = ( 224 x 958 ) / 107296

GCD(224, 958) = 214592 / 107296

GCD(224, 958) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 224, 958, 466, 588 is 2

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1. What is the GCD of 224, 958, 466, 588?

GCD of 224, 958, 466, 588 is 2

2. Where do I get the detailed procedure to find GCD of 224, 958, 466, 588?

You can find a detailed procedure to find GCD of 224, 958, 466, 588 on our page.

3. How to find GCD of 224, 958, 466, 588 on a calculator?

You can find the GCD of 224, 958, 466, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.