GCD of 392, 712, 164, 768 Calculator

Given Input numbers are 392, 712, 164, 768

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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

Greatest Common Divisior

We found the divisors of 392, 712, 164, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 712, 164, 768 is 4.

Therefore, GCD of numbers 392, 712, 164, 768 is 4

Given Input Data is 392, 712, 164, 768

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 164 is 2 x 2 x 41

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(392, 712) = 34888

GCD(392, 712) = ( 392 x 712 ) / 34888

GCD(392, 712) = 279104 / 34888

GCD(392, 712) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 164

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

LCM(8, 164) = 328

GCD(8, 164) = ( 8 x 164 ) / 328

GCD(8, 164) = 1312 / 328

GCD(8, 164) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 768

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

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

GCD(4, 768) = 3072 / 768

GCD(4, 768) = 4

GCD of 392, 712, 164, 768 is 4

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1. What is the GCD of 392, 712, 164, 768?

GCD of 392, 712, 164, 768 is 4

2. Where do I get the detailed procedure to find GCD of 392, 712, 164, 768?

You can find a detailed procedure to find GCD of 392, 712, 164, 768 on our page.

3. How to find GCD of 392, 712, 164, 768 on a calculator?

You can find the GCD of 392, 712, 164, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.