GCD of 476, 697, 34, 776 Calculator

Given Input numbers are 476, 697, 34, 776

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 34

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

1, 2, 17, 34

Divisors of 776

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

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

Greatest Common Divisior

We found the divisors of 476, 697, 34, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 697, 34, 776 is 1.

Therefore, GCD of numbers 476, 697, 34, 776 is 1

Given Input Data is 476, 697, 34, 776

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 697 is 17 x 41

Prime Factorization of 34 is 2 x 17

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

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(476, 697) = 19516

GCD(476, 697) = ( 476 x 697 ) / 19516

GCD(476, 697) = 331772 / 19516

GCD(476, 697) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 34

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

LCM(17, 34) = 34

GCD(17, 34) = ( 17 x 34 ) / 34

GCD(17, 34) = 578 / 34

GCD(17, 34) = 17

Step3:

Here we consider the GCD from the above i.e. 17 as first number and the next as 776

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

LCM(17, 776) = 13192

GCD(17, 776) = ( 17 x 776 ) / 13192

GCD(17, 776) = 13192 / 13192

GCD(17, 776) = 1

GCD of 476, 697, 34, 776 is 1

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1. What is the GCD of 476, 697, 34, 776?

GCD of 476, 697, 34, 776 is 1

2. Where do I get the detailed procedure to find GCD of 476, 697, 34, 776?

You can find a detailed procedure to find GCD of 476, 697, 34, 776 on our page.

3. How to find GCD of 476, 697, 34, 776 on a calculator?

You can find the GCD of 476, 697, 34, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.