GCD of 521, 648, 527, 116 Calculator

Given Input numbers are 521, 648, 527, 116

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 521, 648, 527, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 648, 527, 116 is 1.

Therefore, GCD of numbers 521, 648, 527, 116 is 1

Given Input Data is 521, 648, 527, 116

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

Prime Factorization of 521 is 521

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 527 is 17 x 31

Prime Factorization of 116 is 2 x 2 x 29

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(521, 648) = 337608

GCD(521, 648) = ( 521 x 648 ) / 337608

GCD(521, 648) = 337608 / 337608

GCD(521, 648) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 521, 648, 527, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 685, 845, 456
• GCD of 314, 278, 412, 824
• GCD of 936, 954, 719, 295
• GCD of 639, 168, 502, 532
• GCD of 878, 653, 808, 998

1. What is the GCD of 521, 648, 527, 116?

GCD of 521, 648, 527, 116 is 1

2. Where do I get the detailed procedure to find GCD of 521, 648, 527, 116?

You can find a detailed procedure to find GCD of 521, 648, 527, 116 on our page.

3. How to find GCD of 521, 648, 527, 116 on a calculator?

You can find the GCD of 521, 648, 527, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.