GCD of 458, 958, 477, 112 Calculator

Given Input numbers are 458, 958, 477, 112

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 958

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

1, 2, 479, 958

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

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

Greatest Common Divisior

We found the divisors of 458, 958, 477, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 958, 477, 112 is 1.

Therefore, GCD of numbers 458, 958, 477, 112 is 1

Given Input Data is 458, 958, 477, 112

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 958 is 2 x 479

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(458, 958) = 219382

GCD(458, 958) = ( 458 x 958 ) / 219382

GCD(458, 958) = 438764 / 219382

GCD(458, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 477

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

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

GCD(2, 477) = 954 / 954

GCD(2, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 458, 958, 477, 112 is 1

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1. What is the GCD of 458, 958, 477, 112?

GCD of 458, 958, 477, 112 is 1

2. Where do I get the detailed procedure to find GCD of 458, 958, 477, 112?

You can find a detailed procedure to find GCD of 458, 958, 477, 112 on our page.

3. How to find GCD of 458, 958, 477, 112 on a calculator?

You can find the GCD of 458, 958, 477, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.