GCD of 702, 116, 33, 854 Calculator

Given Input numbers are 702, 116, 33, 854

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 702, 116, 33, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 116, 33, 854 is 1.

Therefore, GCD of numbers 702, 116, 33, 854 is 1

Given Input Data is 702, 116, 33, 854

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 116 is 2 x 2 x 29

Prime Factorization of 33 is 3 x 11

Prime Factorization of 854 is 2 x 7 x 61

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, 116) = 40716

GCD(702, 116) = ( 702 x 116 ) / 40716

GCD(702, 116) = 81432 / 40716

GCD(702, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 702, 116, 33, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 147, 31, 495
• GCD of 667, 133, 31, 591
• GCD of 310, 845, 85, 313
• GCD of 673, 602, 48, 980
• GCD of 344, 876, 78, 129

1. What is the GCD of 702, 116, 33, 854?

GCD of 702, 116, 33, 854 is 1

2. Where do I get the detailed procedure to find GCD of 702, 116, 33, 854?

You can find a detailed procedure to find GCD of 702, 116, 33, 854 on our page.

3. How to find GCD of 702, 116, 33, 854 on a calculator?

You can find the GCD of 702, 116, 33, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.