GCD of 817, 365, 490, 749 Calculator

Given Input numbers are 817, 365, 490, 749

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 817, 365, 490, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 365, 490, 749 is 1.

Therefore, GCD of numbers 817, 365, 490, 749 is 1

Given Input Data is 817, 365, 490, 749

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 365 is 5 x 73

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 749 is 7 x 107

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(817, 365) = 298205

GCD(817, 365) = ( 817 x 365 ) / 298205

GCD(817, 365) = 298205 / 298205

GCD(817, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 817, 365, 490, 749 is 1

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1. What is the GCD of 817, 365, 490, 749?

GCD of 817, 365, 490, 749 is 1

2. Where do I get the detailed procedure to find GCD of 817, 365, 490, 749?

You can find a detailed procedure to find GCD of 817, 365, 490, 749 on our page.

3. How to find GCD of 817, 365, 490, 749 on a calculator?

You can find the GCD of 817, 365, 490, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.