GCD of 278, 730, 14, 689 Calculator

Given Input numbers are 278, 730, 14, 689

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 730

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

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 278, 730, 14, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 730, 14, 689 is 1.

Therefore, GCD of numbers 278, 730, 14, 689 is 1

Given Input Data is 278, 730, 14, 689

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 14 is 2 x 7

Prime Factorization of 689 is 13 x 53

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(278, 730) = 101470

GCD(278, 730) = ( 278 x 730 ) / 101470

GCD(278, 730) = 202940 / 101470

GCD(278, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 278, 730, 14, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 243, 43, 868
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• GCD of 421, 128, 71, 753

1. What is the GCD of 278, 730, 14, 689?

GCD of 278, 730, 14, 689 is 1

2. Where do I get the detailed procedure to find GCD of 278, 730, 14, 689?

You can find a detailed procedure to find GCD of 278, 730, 14, 689 on our page.

3. How to find GCD of 278, 730, 14, 689 on a calculator?

You can find the GCD of 278, 730, 14, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.