GCD of 788, 410, 774, 147 Calculator

Given Input numbers are 788, 410, 774, 147

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 788, 410, 774, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 410, 774, 147 is 1.

Therefore, GCD of numbers 788, 410, 774, 147 is 1

Given Input Data is 788, 410, 774, 147

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 410 is 2 x 5 x 41

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

Prime Factorization of 147 is 3 x 7 x 7

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(788, 410) = 161540

GCD(788, 410) = ( 788 x 410 ) / 161540

GCD(788, 410) = 323080 / 161540

GCD(788, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 788, 410, 774, 147 is 1

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1. What is the GCD of 788, 410, 774, 147?

GCD of 788, 410, 774, 147 is 1

2. Where do I get the detailed procedure to find GCD of 788, 410, 774, 147?

You can find a detailed procedure to find GCD of 788, 410, 774, 147 on our page.

3. How to find GCD of 788, 410, 774, 147 on a calculator?

You can find the GCD of 788, 410, 774, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.