GCD of 512, 674, 536, 990 Calculator

Given Input numbers are 512, 674, 536, 990

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 512, 674, 536, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 674, 536, 990 is 2.

Therefore, GCD of numbers 512, 674, 536, 990 is 2

Given Input Data is 512, 674, 536, 990

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 674 is 2 x 337

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(512, 674) = 172544

GCD(512, 674) = ( 512 x 674 ) / 172544

GCD(512, 674) = 345088 / 172544

GCD(512, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 536

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

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

GCD(2, 536) = 1072 / 536

GCD(2, 536) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

GCD of 512, 674, 536, 990 is 2

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1. What is the GCD of 512, 674, 536, 990?

GCD of 512, 674, 536, 990 is 2

2. Where do I get the detailed procedure to find GCD of 512, 674, 536, 990?

You can find a detailed procedure to find GCD of 512, 674, 536, 990 on our page.

3. How to find GCD of 512, 674, 536, 990 on a calculator?

You can find the GCD of 512, 674, 536, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.