GCD of 99, 533, 520, 661 Calculator

Given Input numbers are 99, 533, 520, 661

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 99, 533, 520, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 533, 520, 661 is 1.

Therefore, GCD of numbers 99, 533, 520, 661 is 1

Given Input Data is 99, 533, 520, 661

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 533 is 13 x 41

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 661 is 661

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(99, 533) = 52767

GCD(99, 533) = ( 99 x 533 ) / 52767

GCD(99, 533) = 52767 / 52767

GCD(99, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 99, 533, 520, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 191, 711, 620
• GCD of 54, 171, 548, 982
• GCD of 17, 682, 522, 856
• GCD of 95, 714, 388, 881
• GCD of 96, 199, 919, 308

1. What is the GCD of 99, 533, 520, 661?

GCD of 99, 533, 520, 661 is 1

2. Where do I get the detailed procedure to find GCD of 99, 533, 520, 661?

You can find a detailed procedure to find GCD of 99, 533, 520, 661 on our page.

3. How to find GCD of 99, 533, 520, 661 on a calculator?

You can find the GCD of 99, 533, 520, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.