GCD of 774, 143, 702, 459 Calculator

Given Input numbers are 774, 143, 702, 459

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 774, 143, 702, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 143, 702, 459 is 1.

Therefore, GCD of numbers 774, 143, 702, 459 is 1

Given Input Data is 774, 143, 702, 459

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 143 is 11 x 13

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(774, 143) = 110682

GCD(774, 143) = ( 774 x 143 ) / 110682

GCD(774, 143) = 110682 / 110682

GCD(774, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 774, 143, 702, 459 is 1

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1. What is the GCD of 774, 143, 702, 459?

GCD of 774, 143, 702, 459 is 1

2. Where do I get the detailed procedure to find GCD of 774, 143, 702, 459?

You can find a detailed procedure to find GCD of 774, 143, 702, 459 on our page.

3. How to find GCD of 774, 143, 702, 459 on a calculator?

You can find the GCD of 774, 143, 702, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.