GCD of 769, 435, 806, 320 Calculator

Given Input numbers are 769, 435, 806, 320

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 769, 435, 806, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 435, 806, 320 is 1.

Therefore, GCD of numbers 769, 435, 806, 320 is 1

Given Input Data is 769, 435, 806, 320

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

Prime Factorization of 769 is 769

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(769, 435) = 334515

GCD(769, 435) = ( 769 x 435 ) / 334515

GCD(769, 435) = 334515 / 334515

GCD(769, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 769, 435, 806, 320 is 1

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1. What is the GCD of 769, 435, 806, 320?

GCD of 769, 435, 806, 320 is 1

2. Where do I get the detailed procedure to find GCD of 769, 435, 806, 320?

You can find a detailed procedure to find GCD of 769, 435, 806, 320 on our page.

3. How to find GCD of 769, 435, 806, 320 on a calculator?

You can find the GCD of 769, 435, 806, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.