GCD of 738, 324, 814, 558 Calculator

Given Input numbers are 738, 324, 814, 558

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 738, 324, 814, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 324, 814, 558 is 2.

Therefore, GCD of numbers 738, 324, 814, 558 is 2

Given Input Data is 738, 324, 814, 558

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(738, 324) = 13284

GCD(738, 324) = ( 738 x 324 ) / 13284

GCD(738, 324) = 239112 / 13284

GCD(738, 324) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 814

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

LCM(18, 814) = 7326

GCD(18, 814) = ( 18 x 814 ) / 7326

GCD(18, 814) = 14652 / 7326

GCD(18, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 738, 324, 814, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 414, 788, 662
• GCD of 922, 666, 873, 905
• GCD of 423, 716, 863, 677
• GCD of 958, 884, 398, 414
• GCD of 101, 469, 210, 649

1. What is the GCD of 738, 324, 814, 558?

GCD of 738, 324, 814, 558 is 2

2. Where do I get the detailed procedure to find GCD of 738, 324, 814, 558?

You can find a detailed procedure to find GCD of 738, 324, 814, 558 on our page.

3. How to find GCD of 738, 324, 814, 558 on a calculator?

You can find the GCD of 738, 324, 814, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.