GCD of 861, 205, 716, 617 Calculator

Given Input numbers are 861, 205, 716, 617

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 861, 205, 716, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 205, 716, 617 is 1.

Therefore, GCD of numbers 861, 205, 716, 617 is 1

Given Input Data is 861, 205, 716, 617

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 205 is 5 x 41

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 617 is 617

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(861, 205) = 4305

GCD(861, 205) = ( 861 x 205 ) / 4305

GCD(861, 205) = 176505 / 4305

GCD(861, 205) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 716

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

LCM(41, 716) = 29356

GCD(41, 716) = ( 41 x 716 ) / 29356

GCD(41, 716) = 29356 / 29356

GCD(41, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 861, 205, 716, 617 is 1

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1. What is the GCD of 861, 205, 716, 617?

GCD of 861, 205, 716, 617 is 1

2. Where do I get the detailed procedure to find GCD of 861, 205, 716, 617?

You can find a detailed procedure to find GCD of 861, 205, 716, 617 on our page.

3. How to find GCD of 861, 205, 716, 617 on a calculator?

You can find the GCD of 861, 205, 716, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.