GCD of 17, 795, 105, 737 Calculator

Given Input numbers are 17, 795, 105, 737

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

Divisors of 17

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

1, 17

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 17, 795, 105, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 795, 105, 737 is 1.

Therefore, GCD of numbers 17, 795, 105, 737 is 1

Given Input Data is 17, 795, 105, 737

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

Prime Factorization of 17 is 17

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 737 is 11 x 67

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(17, 795) = 13515

GCD(17, 795) = ( 17 x 795 ) / 13515

GCD(17, 795) = 13515 / 13515

GCD(17, 795) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 17, 795, 105, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 509, 840, 979
• GCD of 67, 592, 547, 118
• GCD of 63, 850, 557, 787
• GCD of 15, 335, 963, 472
• GCD of 16, 746, 559, 524

1. What is the GCD of 17, 795, 105, 737?

GCD of 17, 795, 105, 737 is 1

2. Where do I get the detailed procedure to find GCD of 17, 795, 105, 737?

You can find a detailed procedure to find GCD of 17, 795, 105, 737 on our page.

3. How to find GCD of 17, 795, 105, 737 on a calculator?

You can find the GCD of 17, 795, 105, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.