GCD of 160, 664, 660, 823 Calculator

Given Input numbers are 160, 664, 660, 823

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 160, 664, 660, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 664, 660, 823 is 1.

Therefore, GCD of numbers 160, 664, 660, 823 is 1

Given Input Data is 160, 664, 660, 823

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 823 is 823

The above numbers do not have any common prime factor. So GCD is 1

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(160, 664) = 13280

GCD(160, 664) = ( 160 x 664 ) / 13280

GCD(160, 664) = 106240 / 13280

GCD(160, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 660

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

LCM(8, 660) = 1320

GCD(8, 660) = ( 8 x 660 ) / 1320

GCD(8, 660) = 5280 / 1320

GCD(8, 660) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 823

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

LCM(4, 823) = 3292

GCD(4, 823) = ( 4 x 823 ) / 3292

GCD(4, 823) = 3292 / 3292

GCD(4, 823) = 1

GCD of 160, 664, 660, 823 is 1

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1. What is the GCD of 160, 664, 660, 823?

GCD of 160, 664, 660, 823 is 1

2. Where do I get the detailed procedure to find GCD of 160, 664, 660, 823?

You can find a detailed procedure to find GCD of 160, 664, 660, 823 on our page.

3. How to find GCD of 160, 664, 660, 823 on a calculator?

You can find the GCD of 160, 664, 660, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.