GCD of 776, 396, 460, 785 Calculator

Given Input numbers are 776, 396, 460, 785

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 776, 396, 460, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 396, 460, 785 is 1.

Therefore, GCD of numbers 776, 396, 460, 785 is 1

Given Input Data is 776, 396, 460, 785

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 785 is 5 x 157

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(776, 396) = 76824

GCD(776, 396) = ( 776 x 396 ) / 76824

GCD(776, 396) = 307296 / 76824

GCD(776, 396) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 460

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

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

GCD(4, 460) = 1840 / 460

GCD(4, 460) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 785

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

LCM(4, 785) = 3140

GCD(4, 785) = ( 4 x 785 ) / 3140

GCD(4, 785) = 3140 / 3140

GCD(4, 785) = 1

GCD of 776, 396, 460, 785 is 1

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1. What is the GCD of 776, 396, 460, 785?

GCD of 776, 396, 460, 785 is 1

2. Where do I get the detailed procedure to find GCD of 776, 396, 460, 785?

You can find a detailed procedure to find GCD of 776, 396, 460, 785 on our page.

3. How to find GCD of 776, 396, 460, 785 on a calculator?

You can find the GCD of 776, 396, 460, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.