GCD of 389, 565, 86, 610 Calculator

Given Input numbers are 389, 565, 86, 610

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 389, 565, 86, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 565, 86, 610 is 1.

Therefore, GCD of numbers 389, 565, 86, 610 is 1

Given Input Data is 389, 565, 86, 610

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

Prime Factorization of 389 is 389

Prime Factorization of 565 is 5 x 113

Prime Factorization of 86 is 2 x 43

Prime Factorization of 610 is 2 x 5 x 61

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(389, 565) = 219785

GCD(389, 565) = ( 389 x 565 ) / 219785

GCD(389, 565) = 219785 / 219785

GCD(389, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 389, 565, 86, 610 is 1

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1. What is the GCD of 389, 565, 86, 610?

GCD of 389, 565, 86, 610 is 1

2. Where do I get the detailed procedure to find GCD of 389, 565, 86, 610?

You can find a detailed procedure to find GCD of 389, 565, 86, 610 on our page.

3. How to find GCD of 389, 565, 86, 610 on a calculator?

You can find the GCD of 389, 565, 86, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.