GCD of 221, 117, 650, 504 Calculator

Given Input numbers are 221, 117, 650, 504

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 221, 117, 650, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 117, 650, 504 is 1.

Therefore, GCD of numbers 221, 117, 650, 504 is 1

Given Input Data is 221, 117, 650, 504

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(221, 117) = 1989

GCD(221, 117) = ( 221 x 117 ) / 1989

GCD(221, 117) = 25857 / 1989

GCD(221, 117) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 650

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

LCM(13, 650) = 650

GCD(13, 650) = ( 13 x 650 ) / 650

GCD(13, 650) = 8450 / 650

GCD(13, 650) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 504

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

LCM(13, 504) = 6552

GCD(13, 504) = ( 13 x 504 ) / 6552

GCD(13, 504) = 6552 / 6552

GCD(13, 504) = 1

GCD of 221, 117, 650, 504 is 1

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• GCD of 393, 393, 489, 919
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• GCD of 890, 813, 399, 979

1. What is the GCD of 221, 117, 650, 504?

GCD of 221, 117, 650, 504 is 1

2. Where do I get the detailed procedure to find GCD of 221, 117, 650, 504?

You can find a detailed procedure to find GCD of 221, 117, 650, 504 on our page.

3. How to find GCD of 221, 117, 650, 504 on a calculator?

You can find the GCD of 221, 117, 650, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.