GCD of 736, 144, 586 Calculator

Given Input numbers are 736, 144, 586

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

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 736, 144, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 144, 586 is 2.

Therefore, GCD of numbers 736, 144, 586 is 2

Given Input Data is 736, 144, 586

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 586 is 2 x 293

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(736, 144) = 6624

GCD(736, 144) = ( 736 x 144 ) / 6624

GCD(736, 144) = 105984 / 6624

GCD(736, 144) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 586

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

LCM(16, 586) = 4688

GCD(16, 586) = ( 16 x 586 ) / 4688

GCD(16, 586) = 9376 / 4688

GCD(16, 586) = 2

GCD of 736, 144, 586 is 2

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1. What is the GCD of 736, 144, 586?

GCD of 736, 144, 586 is 2

2. Where do I get the detailed procedure to find GCD of 736, 144, 586?

You can find a detailed procedure to find GCD of 736, 144, 586 on our page.

3. How to find GCD of 736, 144, 586 on a calculator?

You can find the GCD of 736, 144, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.