GCD of 785, 765, 16, 305 Calculator

Given Input numbers are 785, 765, 16, 305

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

Divisors of 785

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

1, 5, 157, 785

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 785, 765, 16, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 765, 16, 305 is 1.

Therefore, GCD of numbers 785, 765, 16, 305 is 1

Given Input Data is 785, 765, 16, 305

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 305 is 5 x 61

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(785, 765) = 120105

GCD(785, 765) = ( 785 x 765 ) / 120105

GCD(785, 765) = 600525 / 120105

GCD(785, 765) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 785, 765, 16, 305 is 1

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1. What is the GCD of 785, 765, 16, 305?

GCD of 785, 765, 16, 305 is 1

2. Where do I get the detailed procedure to find GCD of 785, 765, 16, 305?

You can find a detailed procedure to find GCD of 785, 765, 16, 305 on our page.

3. How to find GCD of 785, 765, 16, 305 on a calculator?

You can find the GCD of 785, 765, 16, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.