GCD of 734, 268, 289, 730 Calculator

Given Input numbers are 734, 268, 289, 730

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 734, 268, 289, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 268, 289, 730 is 1.

Therefore, GCD of numbers 734, 268, 289, 730 is 1

Given Input Data is 734, 268, 289, 730

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 289 is 17 x 17

Prime Factorization of 730 is 2 x 5 x 73

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, 268) = 98356

GCD(734, 268) = ( 734 x 268 ) / 98356

GCD(734, 268) = 196712 / 98356

GCD(734, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 734, 268, 289, 730 is 1

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1. What is the GCD of 734, 268, 289, 730?

GCD of 734, 268, 289, 730 is 1

2. Where do I get the detailed procedure to find GCD of 734, 268, 289, 730?

You can find a detailed procedure to find GCD of 734, 268, 289, 730 on our page.

3. How to find GCD of 734, 268, 289, 730 on a calculator?

You can find the GCD of 734, 268, 289, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.