GCD of 303, 682, 10, 771 Calculator

Given Input numbers are 303, 682, 10, 771

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 303, 682, 10, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 682, 10, 771 is 1.

Therefore, GCD of numbers 303, 682, 10, 771 is 1

Given Input Data is 303, 682, 10, 771

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 10 is 2 x 5

Prime Factorization of 771 is 3 x 257

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(303, 682) = 206646

GCD(303, 682) = ( 303 x 682 ) / 206646

GCD(303, 682) = 206646 / 206646

GCD(303, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 303, 682, 10, 771 is 1

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1. What is the GCD of 303, 682, 10, 771?

GCD of 303, 682, 10, 771 is 1

2. Where do I get the detailed procedure to find GCD of 303, 682, 10, 771?

You can find a detailed procedure to find GCD of 303, 682, 10, 771 on our page.

3. How to find GCD of 303, 682, 10, 771 on a calculator?

You can find the GCD of 303, 682, 10, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.