GCD of 569, 144, 917, 682 Calculator

Given Input numbers are 569, 144, 917, 682

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

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 569, 144, 917, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 144, 917, 682 is 1.

Therefore, GCD of numbers 569, 144, 917, 682 is 1

Given Input Data is 569, 144, 917, 682

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

Prime Factorization of 569 is 569

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 917 is 7 x 131

Prime Factorization of 682 is 2 x 11 x 31

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(569, 144) = 81936

GCD(569, 144) = ( 569 x 144 ) / 81936

GCD(569, 144) = 81936 / 81936

GCD(569, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 569, 144, 917, 682 is 1

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1. What is the GCD of 569, 144, 917, 682?

GCD of 569, 144, 917, 682 is 1

2. Where do I get the detailed procedure to find GCD of 569, 144, 917, 682?

You can find a detailed procedure to find GCD of 569, 144, 917, 682 on our page.

3. How to find GCD of 569, 144, 917, 682 on a calculator?

You can find the GCD of 569, 144, 917, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.