GCD of 708, 350, 713, 689 Calculator

Given Input numbers are 708, 350, 713, 689

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

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 708, 350, 713, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 350, 713, 689 is 1.

Therefore, GCD of numbers 708, 350, 713, 689 is 1

Given Input Data is 708, 350, 713, 689

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 713 is 23 x 31

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(708, 350) = 123900

GCD(708, 350) = ( 708 x 350 ) / 123900

GCD(708, 350) = 247800 / 123900

GCD(708, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 708, 350, 713, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 753, 947, 415
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1. What is the GCD of 708, 350, 713, 689?

GCD of 708, 350, 713, 689 is 1

2. Where do I get the detailed procedure to find GCD of 708, 350, 713, 689?

You can find a detailed procedure to find GCD of 708, 350, 713, 689 on our page.

3. How to find GCD of 708, 350, 713, 689 on a calculator?

You can find the GCD of 708, 350, 713, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.