GCD of 561, 842, 90, 713 Calculator

Given Input numbers are 561, 842, 90, 713

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 561, 842, 90, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 842, 90, 713 is 1.

Therefore, GCD of numbers 561, 842, 90, 713 is 1

Given Input Data is 561, 842, 90, 713

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 842 is 2 x 421

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 713 is 23 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(561, 842) = 472362

GCD(561, 842) = ( 561 x 842 ) / 472362

GCD(561, 842) = 472362 / 472362

GCD(561, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 561, 842, 90, 713 is 1

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1. What is the GCD of 561, 842, 90, 713?

GCD of 561, 842, 90, 713 is 1

2. Where do I get the detailed procedure to find GCD of 561, 842, 90, 713?

You can find a detailed procedure to find GCD of 561, 842, 90, 713 on our page.

3. How to find GCD of 561, 842, 90, 713 on a calculator?

You can find the GCD of 561, 842, 90, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.