GCD of 512, 578, 996, 758 Calculator

Given Input numbers are 512, 578, 996, 758

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 512, 578, 996, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 578, 996, 758 is 2.

Therefore, GCD of numbers 512, 578, 996, 758 is 2

Given Input Data is 512, 578, 996, 758

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 578 is 2 x 17 x 17

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 758 is 2 x 379

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, 578) = 147968

GCD(512, 578) = ( 512 x 578 ) / 147968

GCD(512, 578) = 295936 / 147968

GCD(512, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 512, 578, 996, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 462, 369, 365
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• GCD of 900, 801, 661, 138
• GCD of 512, 343, 508, 323

1. What is the GCD of 512, 578, 996, 758?

GCD of 512, 578, 996, 758 is 2

2. Where do I get the detailed procedure to find GCD of 512, 578, 996, 758?

You can find a detailed procedure to find GCD of 512, 578, 996, 758 on our page.

3. How to find GCD of 512, 578, 996, 758 on a calculator?

You can find the GCD of 512, 578, 996, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.