GCD of 34, 997, 649, 807 Calculator

Given Input numbers are 34, 997, 649, 807

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 34, 997, 649, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 997, 649, 807 is 1.

Therefore, GCD of numbers 34, 997, 649, 807 is 1

Given Input Data is 34, 997, 649, 807

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 997 is 997

Prime Factorization of 649 is 11 x 59

Prime Factorization of 807 is 3 x 269

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(34, 997) = 33898

GCD(34, 997) = ( 34 x 997 ) / 33898

GCD(34, 997) = 33898 / 33898

GCD(34, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 34, 997, 649, 807 is 1

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1. What is the GCD of 34, 997, 649, 807?

GCD of 34, 997, 649, 807 is 1

2. Where do I get the detailed procedure to find GCD of 34, 997, 649, 807?

You can find a detailed procedure to find GCD of 34, 997, 649, 807 on our page.

3. How to find GCD of 34, 997, 649, 807 on a calculator?

You can find the GCD of 34, 997, 649, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.