GCD of 170, 692, 153 Calculator

Given Input numbers are 170, 692, 153

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 170, 692, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 692, 153 is 1.

Therefore, GCD of numbers 170, 692, 153 is 1

Given Input Data is 170, 692, 153

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 153 is 3 x 3 x 17

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(170, 692) = 58820

GCD(170, 692) = ( 170 x 692 ) / 58820

GCD(170, 692) = 117640 / 58820

GCD(170, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 170, 692, 153 is 1

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1. What is the GCD of 170, 692, 153?

GCD of 170, 692, 153 is 1

2. Where do I get the detailed procedure to find GCD of 170, 692, 153?

You can find a detailed procedure to find GCD of 170, 692, 153 on our page.

3. How to find GCD of 170, 692, 153 on a calculator?

You can find the GCD of 170, 692, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.