GCD of 778, 173, 421, 920 Calculator

Given Input numbers are 778, 173, 421, 920

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 421

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

1, 421

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 778, 173, 421, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 173, 421, 920 is 1.

Therefore, GCD of numbers 778, 173, 421, 920 is 1

Given Input Data is 778, 173, 421, 920

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 173 is 173

Prime Factorization of 421 is 421

Prime Factorization of 920 is 2 x 2 x 2 x 5 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(778, 173) = 134594

GCD(778, 173) = ( 778 x 173 ) / 134594

GCD(778, 173) = 134594 / 134594

GCD(778, 173) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 778, 173, 421, 920 is 1

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1. What is the GCD of 778, 173, 421, 920?

GCD of 778, 173, 421, 920 is 1

2. Where do I get the detailed procedure to find GCD of 778, 173, 421, 920?

You can find a detailed procedure to find GCD of 778, 173, 421, 920 on our page.

3. How to find GCD of 778, 173, 421, 920 on a calculator?

You can find the GCD of 778, 173, 421, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.