GCD of 138, 417, 692 Calculator

Given Input numbers are 138, 417, 692

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 138, 417, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 417, 692 is 1.

Therefore, GCD of numbers 138, 417, 692 is 1

Given Input Data is 138, 417, 692

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 417 is 3 x 139

Prime Factorization of 692 is 2 x 2 x 173

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(138, 417) = 19182

GCD(138, 417) = ( 138 x 417 ) / 19182

GCD(138, 417) = 57546 / 19182

GCD(138, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 692

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

LCM(3, 692) = 2076

GCD(3, 692) = ( 3 x 692 ) / 2076

GCD(3, 692) = 2076 / 2076

GCD(3, 692) = 1

GCD of 138, 417, 692 is 1

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1. What is the GCD of 138, 417, 692?

GCD of 138, 417, 692 is 1

2. Where do I get the detailed procedure to find GCD of 138, 417, 692?

You can find a detailed procedure to find GCD of 138, 417, 692 on our page.

3. How to find GCD of 138, 417, 692 on a calculator?

You can find the GCD of 138, 417, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.