GCD of 34, 946, 682, 903 Calculator

Given Input numbers are 34, 946, 682, 903

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 34, 946, 682, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 946, 682, 903 is 1.

Therefore, GCD of numbers 34, 946, 682, 903 is 1

Given Input Data is 34, 946, 682, 903

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 903 is 3 x 7 x 43

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, 946) = 16082

GCD(34, 946) = ( 34 x 946 ) / 16082

GCD(34, 946) = 32164 / 16082

GCD(34, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

GCD of 34, 946, 682, 903 is 1

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• GCD of 68, 345, 921, 209

1. What is the GCD of 34, 946, 682, 903?

GCD of 34, 946, 682, 903 is 1

2. Where do I get the detailed procedure to find GCD of 34, 946, 682, 903?

You can find a detailed procedure to find GCD of 34, 946, 682, 903 on our page.

3. How to find GCD of 34, 946, 682, 903 on a calculator?

You can find the GCD of 34, 946, 682, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.