GCD of 578, 686, 170, 387 Calculator

Given Input numbers are 578, 686, 170, 387

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 578, 686, 170, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 686, 170, 387 is 1.

Therefore, GCD of numbers 578, 686, 170, 387 is 1

Given Input Data is 578, 686, 170, 387

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 387 is 3 x 3 x 43

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(578, 686) = 198254

GCD(578, 686) = ( 578 x 686 ) / 198254

GCD(578, 686) = 396508 / 198254

GCD(578, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 170

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

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

GCD(2, 170) = 340 / 170

GCD(2, 170) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 387

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

LCM(2, 387) = 774

GCD(2, 387) = ( 2 x 387 ) / 774

GCD(2, 387) = 774 / 774

GCD(2, 387) = 1

GCD of 578, 686, 170, 387 is 1

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1. What is the GCD of 578, 686, 170, 387?

GCD of 578, 686, 170, 387 is 1

2. Where do I get the detailed procedure to find GCD of 578, 686, 170, 387?

You can find a detailed procedure to find GCD of 578, 686, 170, 387 on our page.

3. How to find GCD of 578, 686, 170, 387 on a calculator?

You can find the GCD of 578, 686, 170, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.