GCD of 768, 848, 66, 704 Calculator

Given Input numbers are 768, 848, 66, 704

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 768, 848, 66, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 848, 66, 704 is 2.

Therefore, GCD of numbers 768, 848, 66, 704 is 2

Given Input Data is 768, 848, 66, 704

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 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(768, 848) = 40704

GCD(768, 848) = ( 768 x 848 ) / 40704

GCD(768, 848) = 651264 / 40704

GCD(768, 848) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 66

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

LCM(16, 66) = 528

GCD(16, 66) = ( 16 x 66 ) / 528

GCD(16, 66) = 1056 / 528

GCD(16, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

GCD of 768, 848, 66, 704 is 2

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1. What is the GCD of 768, 848, 66, 704?

GCD of 768, 848, 66, 704 is 2

2. Where do I get the detailed procedure to find GCD of 768, 848, 66, 704?

You can find a detailed procedure to find GCD of 768, 848, 66, 704 on our page.

3. How to find GCD of 768, 848, 66, 704 on a calculator?

You can find the GCD of 768, 848, 66, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.