GCD of 385, 692, 205 Calculator

Given Input numbers are 385, 692, 205

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 385, 692, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 692, 205 is 1.

Therefore, GCD of numbers 385, 692, 205 is 1

Given Input Data is 385, 692, 205

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 205 is 5 x 41

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(385, 692) = 266420

GCD(385, 692) = ( 385 x 692 ) / 266420

GCD(385, 692) = 266420 / 266420

GCD(385, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 385, 692, 205 is 1

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1. What is the GCD of 385, 692, 205?

GCD of 385, 692, 205 is 1

2. Where do I get the detailed procedure to find GCD of 385, 692, 205?

You can find a detailed procedure to find GCD of 385, 692, 205 on our page.

3. How to find GCD of 385, 692, 205 on a calculator?

You can find the GCD of 385, 692, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.