GCD of 169, 978, 657 Calculator

Given Input numbers are 169, 978, 657

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 169, 978, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 978, 657 is 1.

Therefore, GCD of numbers 169, 978, 657 is 1

Given Input Data is 169, 978, 657

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 657 is 3 x 3 x 73

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, 978) = 165282

GCD(169, 978) = ( 169 x 978 ) / 165282

GCD(169, 978) = 165282 / 165282

GCD(169, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 169, 978, 657 is 1

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1. What is the GCD of 169, 978, 657?

GCD of 169, 978, 657 is 1

2. Where do I get the detailed procedure to find GCD of 169, 978, 657?

You can find a detailed procedure to find GCD of 169, 978, 657 on our page.

3. How to find GCD of 169, 978, 657 on a calculator?

You can find the GCD of 169, 978, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.