GCD of 734, 510, 707, 717 Calculator

Given Input numbers are 734, 510, 707, 717

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 734, 510, 707, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 510, 707, 717 is 1.

Therefore, GCD of numbers 734, 510, 707, 717 is 1

Given Input Data is 734, 510, 707, 717

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 707 is 7 x 101

Prime Factorization of 717 is 3 x 239

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(734, 510) = 187170

GCD(734, 510) = ( 734 x 510 ) / 187170

GCD(734, 510) = 374340 / 187170

GCD(734, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 734, 510, 707, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 599, 283, 910
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• GCD of 315, 442, 847, 662

1. What is the GCD of 734, 510, 707, 717?

GCD of 734, 510, 707, 717 is 1

2. Where do I get the detailed procedure to find GCD of 734, 510, 707, 717?

You can find a detailed procedure to find GCD of 734, 510, 707, 717 on our page.

3. How to find GCD of 734, 510, 707, 717 on a calculator?

You can find the GCD of 734, 510, 707, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.