GCD of 458, 452, 134, 946 Calculator

Given Input numbers are 458, 452, 134, 946

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 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 458, 452, 134, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 452, 134, 946 is 2.

Therefore, GCD of numbers 458, 452, 134, 946 is 2

Given Input Data is 458, 452, 134, 946

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 134 is 2 x 67

Prime Factorization of 946 is 2 x 11 x 43

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(458, 452) = 103508

GCD(458, 452) = ( 458 x 452 ) / 103508

GCD(458, 452) = 207016 / 103508

GCD(458, 452) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 458, 452, 134, 946 is 2

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1. What is the GCD of 458, 452, 134, 946?

GCD of 458, 452, 134, 946 is 2

2. Where do I get the detailed procedure to find GCD of 458, 452, 134, 946?

You can find a detailed procedure to find GCD of 458, 452, 134, 946 on our page.

3. How to find GCD of 458, 452, 134, 946 on a calculator?

You can find the GCD of 458, 452, 134, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.