GCD of 179, 992, 69 Calculator

Given Input numbers are 179, 992, 69

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 179, 992, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 992, 69 is 1.

Therefore, GCD of numbers 179, 992, 69 is 1

Given Input Data is 179, 992, 69

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

Prime Factorization of 179 is 179

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 69 is 3 x 23

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(179, 992) = 177568

GCD(179, 992) = ( 179 x 992 ) / 177568

GCD(179, 992) = 177568 / 177568

GCD(179, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

GCD of 179, 992, 69 is 1

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1. What is the GCD of 179, 992, 69?

GCD of 179, 992, 69 is 1

2. Where do I get the detailed procedure to find GCD of 179, 992, 69?

You can find a detailed procedure to find GCD of 179, 992, 69 on our page.

3. How to find GCD of 179, 992, 69 on a calculator?

You can find the GCD of 179, 992, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.