GCD of 778, 334, 771, 185 Calculator

Given Input numbers are 778, 334, 771, 185

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 778, 334, 771, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 334, 771, 185 is 1.

Therefore, GCD of numbers 778, 334, 771, 185 is 1

Given Input Data is 778, 334, 771, 185

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 334 is 2 x 167

Prime Factorization of 771 is 3 x 257

Prime Factorization of 185 is 5 x 37

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, 334) = 129926

GCD(778, 334) = ( 778 x 334 ) / 129926

GCD(778, 334) = 259852 / 129926

GCD(778, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 778, 334, 771, 185 is 1

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1. What is the GCD of 778, 334, 771, 185?

GCD of 778, 334, 771, 185 is 1

2. Where do I get the detailed procedure to find GCD of 778, 334, 771, 185?

You can find a detailed procedure to find GCD of 778, 334, 771, 185 on our page.

3. How to find GCD of 778, 334, 771, 185 on a calculator?

You can find the GCD of 778, 334, 771, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.