GCD of 768, 694, 32, 578 Calculator

Given Input numbers are 768, 694, 32, 578

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 578

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

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 768, 694, 32, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 694, 32, 578 is 2.

Therefore, GCD of numbers 768, 694, 32, 578 is 2

Given Input Data is 768, 694, 32, 578

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 694 is 2 x 347

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 578 is 2 x 17 x 17

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(768, 694) = 266496

GCD(768, 694) = ( 768 x 694 ) / 266496

GCD(768, 694) = 532992 / 266496

GCD(768, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 768, 694, 32, 578 is 2

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1. What is the GCD of 768, 694, 32, 578?

GCD of 768, 694, 32, 578 is 2

2. Where do I get the detailed procedure to find GCD of 768, 694, 32, 578?

You can find a detailed procedure to find GCD of 768, 694, 32, 578 on our page.

3. How to find GCD of 768, 694, 32, 578 on a calculator?

You can find the GCD of 768, 694, 32, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.