GCD of 117, 692, 32 Calculator

Given Input numbers are 117, 692, 32

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Greatest Common Divisior

We found the divisors of 117, 692, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 692, 32 is 1.

Therefore, GCD of numbers 117, 692, 32 is 1

Given Input Data is 117, 692, 32

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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(117, 692) = 80964

GCD(117, 692) = ( 117 x 692 ) / 80964

GCD(117, 692) = 80964 / 80964

GCD(117, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

GCD of 117, 692, 32 is 1

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1. What is the GCD of 117, 692, 32?

GCD of 117, 692, 32 is 1

2. Where do I get the detailed procedure to find GCD of 117, 692, 32?

You can find a detailed procedure to find GCD of 117, 692, 32 on our page.

3. How to find GCD of 117, 692, 32 on a calculator?

You can find the GCD of 117, 692, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.