GCD of 117, 637, 17, 739 Calculator

Given Input numbers are 117, 637, 17, 739

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 117, 637, 17, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 637, 17, 739 is 1.

Therefore, GCD of numbers 117, 637, 17, 739 is 1

Given Input Data is 117, 637, 17, 739

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 637 is 7 x 7 x 13

Prime Factorization of 17 is 17

Prime Factorization of 739 is 739

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, 637) = 5733

GCD(117, 637) = ( 117 x 637 ) / 5733

GCD(117, 637) = 74529 / 5733

GCD(117, 637) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 17

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

LCM(13, 17) = 221

GCD(13, 17) = ( 13 x 17 ) / 221

GCD(13, 17) = 221 / 221

GCD(13, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 117, 637, 17, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 822, 86, 979
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• GCD of 341, 513, 55, 948

1. What is the GCD of 117, 637, 17, 739?

GCD of 117, 637, 17, 739 is 1

2. Where do I get the detailed procedure to find GCD of 117, 637, 17, 739?

You can find a detailed procedure to find GCD of 117, 637, 17, 739 on our page.

3. How to find GCD of 117, 637, 17, 739 on a calculator?

You can find the GCD of 117, 637, 17, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.