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GCD of 392, 160, 512 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 392, 160, 512 quickly. Get the easiest ways to solve the greatest common divisor of 392, 160, 512 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 392, 160, 512 with Factoring?

Given Input numbers are 392, 160, 512

In the factoring method, we have to find the divisors of all numbers

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (392, 160, 512) = 8.

Find GCD of 392, 160, 512 using Prime Factorization

Given numbers are 392, 160, 512

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 23

Therefore, GCD of 392, 160, 512 is 8.

Steps to Calculate GCD of 392, 160, 512 using LCM Formula

Given numbers are 392, 160, 512

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(392, 160) = 7840

GCD(392, 160) = ( 392 x 160 ) / 7840

= 392 / 160

= 392


Step2:

LCM(8, 512) = 512

GCD(8, 512) = ( 8 x 512 ) / 512

= 8 / 512

= 8


So, Greatest Common Divisor of 392, 160, 512 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 392, 160, 512

Given numbers are 392, 160, 512
The greatest common divisor of numbers 392, 160, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 160, 512 is 8.

FAQs on GCD of 392, 160, 512 Calculator

1. What is the GCD of 392, 160, 512?

GCD of given numbers 392, 160, 512 is 8


2. How to calculate the greatest common divisor of 392, 160, 512?

We can find the highest common divisor of 392, 160, 512 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 392, 160, 512 i.e 8.


3. How can I use the GCD of 392, 160, 512Calculator?

Out the numbers 392, 160, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.