GCD of 169, 173, 106, 702 Calculator

Given Input numbers are 169, 173, 106, 702

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

Divisors of 169

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

1, 13, 169

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 169, 173, 106, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 173, 106, 702 is 1.

Therefore, GCD of numbers 169, 173, 106, 702 is 1

Given Input Data is 169, 173, 106, 702

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 173 is 173

Prime Factorization of 106 is 2 x 53

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(169, 173) = 29237

GCD(169, 173) = ( 169 x 173 ) / 29237

GCD(169, 173) = 29237 / 29237

GCD(169, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 169, 173, 106, 702 is 1

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1. What is the GCD of 169, 173, 106, 702?

GCD of 169, 173, 106, 702 is 1

2. Where do I get the detailed procedure to find GCD of 169, 173, 106, 702?

You can find a detailed procedure to find GCD of 169, 173, 106, 702 on our page.

3. How to find GCD of 169, 173, 106, 702 on a calculator?

You can find the GCD of 169, 173, 106, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.