GCD of 602, 756, 884, 458 Calculator

Given Input numbers are 602, 756, 884, 458

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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 458

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

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 602, 756, 884, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 756, 884, 458 is 2.

Therefore, GCD of numbers 602, 756, 884, 458 is 2

Given Input Data is 602, 756, 884, 458

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 458 is 2 x 229

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(602, 756) = 32508

GCD(602, 756) = ( 602 x 756 ) / 32508

GCD(602, 756) = 455112 / 32508

GCD(602, 756) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 884

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

LCM(14, 884) = 6188

GCD(14, 884) = ( 14 x 884 ) / 6188

GCD(14, 884) = 12376 / 6188

GCD(14, 884) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 602, 756, 884, 458 is 2

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1. What is the GCD of 602, 756, 884, 458?

GCD of 602, 756, 884, 458 is 2

2. Where do I get the detailed procedure to find GCD of 602, 756, 884, 458?

You can find a detailed procedure to find GCD of 602, 756, 884, 458 on our page.

3. How to find GCD of 602, 756, 884, 458 on a calculator?

You can find the GCD of 602, 756, 884, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.