GCD of 286, 677, 169 Calculator

Given Input numbers are 286, 677, 169

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 169

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

1, 13, 169

Greatest Common Divisior

We found the divisors of 286, 677, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 677, 169 is 1.

Therefore, GCD of numbers 286, 677, 169 is 1

Given Input Data is 286, 677, 169

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 677 is 677

Prime Factorization of 169 is 13 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(286, 677) = 193622

GCD(286, 677) = ( 286 x 677 ) / 193622

GCD(286, 677) = 193622 / 193622

GCD(286, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 286, 677, 169 is 1

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1. What is the GCD of 286, 677, 169?

GCD of 286, 677, 169 is 1

2. Where do I get the detailed procedure to find GCD of 286, 677, 169?

You can find a detailed procedure to find GCD of 286, 677, 169 on our page.

3. How to find GCD of 286, 677, 169 on a calculator?

You can find the GCD of 286, 677, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.