GCD of 774, 171, 92, 421 Calculator

Given Input numbers are 774, 171, 92, 421

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 774, 171, 92, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 171, 92, 421 is 1.

Therefore, GCD of numbers 774, 171, 92, 421 is 1

Given Input Data is 774, 171, 92, 421

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 171 is 3 x 3 x 19

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 421 is 421

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, 171) = 14706

GCD(774, 171) = ( 774 x 171 ) / 14706

GCD(774, 171) = 132354 / 14706

GCD(774, 171) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 92

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

LCM(9, 92) = 828

GCD(9, 92) = ( 9 x 92 ) / 828

GCD(9, 92) = 828 / 828

GCD(9, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 774, 171, 92, 421 is 1

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1. What is the GCD of 774, 171, 92, 421?

GCD of 774, 171, 92, 421 is 1

2. Where do I get the detailed procedure to find GCD of 774, 171, 92, 421?

You can find a detailed procedure to find GCD of 774, 171, 92, 421 on our page.

3. How to find GCD of 774, 171, 92, 421 on a calculator?

You can find the GCD of 774, 171, 92, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.