GCD of 117, 611, 501, 363 Calculator

Given Input numbers are 117, 611, 501, 363

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

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 117, 611, 501, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 611, 501, 363 is 1.

Therefore, GCD of numbers 117, 611, 501, 363 is 1

Given Input Data is 117, 611, 501, 363

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 611 is 13 x 47

Prime Factorization of 501 is 3 x 167

Prime Factorization of 363 is 3 x 11 x 11

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(117, 611) = 5499

GCD(117, 611) = ( 117 x 611 ) / 5499

GCD(117, 611) = 71487 / 5499

GCD(117, 611) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 501

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

LCM(13, 501) = 6513

GCD(13, 501) = ( 13 x 501 ) / 6513

GCD(13, 501) = 6513 / 6513

GCD(13, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 117, 611, 501, 363 is 1

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• GCD of 208, 713, 311, 571
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• GCD of 167, 496, 275, 184
• GCD of 289, 806, 604, 599

1. What is the GCD of 117, 611, 501, 363?

GCD of 117, 611, 501, 363 is 1

2. Where do I get the detailed procedure to find GCD of 117, 611, 501, 363?

You can find a detailed procedure to find GCD of 117, 611, 501, 363 on our page.

3. How to find GCD of 117, 611, 501, 363 on a calculator?

You can find the GCD of 117, 611, 501, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.