GCD of 769, 221, 34, 794 Calculator

Given Input numbers are 769, 221, 34, 794

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 769, 221, 34, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 221, 34, 794 is 1.

Therefore, GCD of numbers 769, 221, 34, 794 is 1

Given Input Data is 769, 221, 34, 794

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

Prime Factorization of 769 is 769

Prime Factorization of 221 is 13 x 17

Prime Factorization of 34 is 2 x 17

Prime Factorization of 794 is 2 x 397

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, 221) = 169949

GCD(769, 221) = ( 769 x 221 ) / 169949

GCD(769, 221) = 169949 / 169949

GCD(769, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 769, 221, 34, 794 is 1

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1. What is the GCD of 769, 221, 34, 794?

GCD of 769, 221, 34, 794 is 1

2. Where do I get the detailed procedure to find GCD of 769, 221, 34, 794?

You can find a detailed procedure to find GCD of 769, 221, 34, 794 on our page.

3. How to find GCD of 769, 221, 34, 794 on a calculator?

You can find the GCD of 769, 221, 34, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.