GCD of 101, 169, 170 Calculator

Given Input numbers are 101, 169, 170

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 170

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

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

Greatest Common Divisior

We found the divisors of 101, 169, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 169, 170 is 1.

Therefore, GCD of numbers 101, 169, 170 is 1

Given Input Data is 101, 169, 170

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

Prime Factorization of 101 is 101

Prime Factorization of 169 is 13 x 13

Prime Factorization of 170 is 2 x 5 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(101, 169) = 17069

GCD(101, 169) = ( 101 x 169 ) / 17069

GCD(101, 169) = 17069 / 17069

GCD(101, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 101, 169, 170 is 1

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1. What is the GCD of 101, 169, 170?

GCD of 101, 169, 170 is 1

2. Where do I get the detailed procedure to find GCD of 101, 169, 170?

You can find a detailed procedure to find GCD of 101, 169, 170 on our page.

3. How to find GCD of 101, 169, 170 on a calculator?

You can find the GCD of 101, 169, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.