GCD of 721, 714, 159, 346 Calculator

Given Input numbers are 721, 714, 159, 346

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

Divisors of 721

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

1, 7, 103, 721

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 721, 714, 159, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 714, 159, 346 is 1.

Therefore, GCD of numbers 721, 714, 159, 346 is 1

Given Input Data is 721, 714, 159, 346

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 159 is 3 x 53

Prime Factorization of 346 is 2 x 173

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(721, 714) = 73542

GCD(721, 714) = ( 721 x 714 ) / 73542

GCD(721, 714) = 514794 / 73542

GCD(721, 714) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 159

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

LCM(7, 159) = 1113

GCD(7, 159) = ( 7 x 159 ) / 1113

GCD(7, 159) = 1113 / 1113

GCD(7, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 721, 714, 159, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 243, 699, 364
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• GCD of 753, 206, 272, 151
• GCD of 696, 960, 561, 732
• GCD of 355, 327, 530, 554

1. What is the GCD of 721, 714, 159, 346?

GCD of 721, 714, 159, 346 is 1

2. Where do I get the detailed procedure to find GCD of 721, 714, 159, 346?

You can find a detailed procedure to find GCD of 721, 714, 159, 346 on our page.

3. How to find GCD of 721, 714, 159, 346 on a calculator?

You can find the GCD of 721, 714, 159, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.