GCD of 561, 407, 99, 835 Calculator

Given Input numbers are 561, 407, 99, 835

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 561, 407, 99, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 407, 99, 835 is 1.

Therefore, GCD of numbers 561, 407, 99, 835 is 1

Given Input Data is 561, 407, 99, 835

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 407 is 11 x 37

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 835 is 5 x 167

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, 407) = 20757

GCD(561, 407) = ( 561 x 407 ) / 20757

GCD(561, 407) = 228327 / 20757

GCD(561, 407) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 99

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

LCM(11, 99) = 99

GCD(11, 99) = ( 11 x 99 ) / 99

GCD(11, 99) = 1089 / 99

GCD(11, 99) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 835

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

LCM(11, 835) = 9185

GCD(11, 835) = ( 11 x 835 ) / 9185

GCD(11, 835) = 9185 / 9185

GCD(11, 835) = 1

GCD of 561, 407, 99, 835 is 1

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• GCD of 920, 620, 32, 527
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• GCD of 523, 399, 71, 424

1. What is the GCD of 561, 407, 99, 835?

GCD of 561, 407, 99, 835 is 1

2. Where do I get the detailed procedure to find GCD of 561, 407, 99, 835?

You can find a detailed procedure to find GCD of 561, 407, 99, 835 on our page.

3. How to find GCD of 561, 407, 99, 835 on a calculator?

You can find the GCD of 561, 407, 99, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.