GCD of 602, 736, 58, 556 Calculator

Given Input numbers are 602, 736, 58, 556

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 602, 736, 58, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 736, 58, 556 is 2.

Therefore, GCD of numbers 602, 736, 58, 556 is 2

Given Input Data is 602, 736, 58, 556

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 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 556 is 2 x 2 x 139

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, 736) = 221536

GCD(602, 736) = ( 602 x 736 ) / 221536

GCD(602, 736) = 443072 / 221536

GCD(602, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 602, 736, 58, 556 is 2

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1. What is the GCD of 602, 736, 58, 556?

GCD of 602, 736, 58, 556 is 2

2. Where do I get the detailed procedure to find GCD of 602, 736, 58, 556?

You can find a detailed procedure to find GCD of 602, 736, 58, 556 on our page.

3. How to find GCD of 602, 736, 58, 556 on a calculator?

You can find the GCD of 602, 736, 58, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.