GCD of 648, 598, 74, 258 Calculator

Given Input numbers are 648, 598, 74, 258

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 648, 598, 74, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 598, 74, 258 is 2.

Therefore, GCD of numbers 648, 598, 74, 258 is 2

Given Input Data is 648, 598, 74, 258

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 258 is 2 x 3 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(648, 598) = 193752

GCD(648, 598) = ( 648 x 598 ) / 193752

GCD(648, 598) = 387504 / 193752

GCD(648, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

GCD of 648, 598, 74, 258 is 2

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1. What is the GCD of 648, 598, 74, 258?

GCD of 648, 598, 74, 258 is 2

2. Where do I get the detailed procedure to find GCD of 648, 598, 74, 258?

You can find a detailed procedure to find GCD of 648, 598, 74, 258 on our page.

3. How to find GCD of 648, 598, 74, 258 on a calculator?

You can find the GCD of 648, 598, 74, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.