GCD of 702, 949, 17, 322 Calculator

Given Input numbers are 702, 949, 17, 322

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 702, 949, 17, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 949, 17, 322 is 1.

Therefore, GCD of numbers 702, 949, 17, 322 is 1

Given Input Data is 702, 949, 17, 322

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 949 is 13 x 73

Prime Factorization of 17 is 17

Prime Factorization of 322 is 2 x 7 x 23

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(702, 949) = 51246

GCD(702, 949) = ( 702 x 949 ) / 51246

GCD(702, 949) = 666198 / 51246

GCD(702, 949) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 17

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

LCM(13, 17) = 221

GCD(13, 17) = ( 13 x 17 ) / 221

GCD(13, 17) = 221 / 221

GCD(13, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 702, 949, 17, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 673, 23, 996
• GCD of 232, 907, 72, 630
• GCD of 282, 165, 89, 412
• GCD of 178, 915, 39, 939
• GCD of 257, 540, 25, 482

1. What is the GCD of 702, 949, 17, 322?

GCD of 702, 949, 17, 322 is 1

2. Where do I get the detailed procedure to find GCD of 702, 949, 17, 322?

You can find a detailed procedure to find GCD of 702, 949, 17, 322 on our page.

3. How to find GCD of 702, 949, 17, 322 on a calculator?

You can find the GCD of 702, 949, 17, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.