GCD of 353, 702, 31, 660 Calculator

Given Input numbers are 353, 702, 31, 660

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 353, 702, 31, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 702, 31, 660 is 1.

Therefore, GCD of numbers 353, 702, 31, 660 is 1

Given Input Data is 353, 702, 31, 660

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

Prime Factorization of 353 is 353

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

Prime Factorization of 31 is 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(353, 702) = 247806

GCD(353, 702) = ( 353 x 702 ) / 247806

GCD(353, 702) = 247806 / 247806

GCD(353, 702) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 353, 702, 31, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 910, 74, 987
• GCD of 631, 919, 46, 449
• GCD of 600, 541, 16, 245
• GCD of 805, 449, 45, 892
• GCD of 991, 417, 40, 654

1. What is the GCD of 353, 702, 31, 660?

GCD of 353, 702, 31, 660 is 1

2. Where do I get the detailed procedure to find GCD of 353, 702, 31, 660?

You can find a detailed procedure to find GCD of 353, 702, 31, 660 on our page.

3. How to find GCD of 353, 702, 31, 660 on a calculator?

You can find the GCD of 353, 702, 31, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.