GCD of 302, 721, 547, 689 Calculator

Given Input numbers are 302, 721, 547, 689

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

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 302, 721, 547, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 721, 547, 689 is 1.

Therefore, GCD of numbers 302, 721, 547, 689 is 1

Given Input Data is 302, 721, 547, 689

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 721 is 7 x 103

Prime Factorization of 547 is 547

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(302, 721) = 217742

GCD(302, 721) = ( 302 x 721 ) / 217742

GCD(302, 721) = 217742 / 217742

GCD(302, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 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 302, 721, 547, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 514, 701, 589
• GCD of 544, 622, 153, 157
• GCD of 791, 880, 578, 200
• GCD of 288, 871, 149, 798
• GCD of 647, 159, 136, 434

1. What is the GCD of 302, 721, 547, 689?

GCD of 302, 721, 547, 689 is 1

2. Where do I get the detailed procedure to find GCD of 302, 721, 547, 689?

You can find a detailed procedure to find GCD of 302, 721, 547, 689 on our page.

3. How to find GCD of 302, 721, 547, 689 on a calculator?

You can find the GCD of 302, 721, 547, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.