GCD of 814, 974, 676, 845 Calculator

Given Input numbers are 814, 974, 676, 845

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 814, 974, 676, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 974, 676, 845 is 1.

Therefore, GCD of numbers 814, 974, 676, 845 is 1

Given Input Data is 814, 974, 676, 845

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 974 is 2 x 487

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 845 is 5 x 13 x 13

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(814, 974) = 396418

GCD(814, 974) = ( 814 x 974 ) / 396418

GCD(814, 974) = 792836 / 396418

GCD(814, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 845

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

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

GCD(2, 845) = 1690 / 1690

GCD(2, 845) = 1

GCD of 814, 974, 676, 845 is 1

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1. What is the GCD of 814, 974, 676, 845?

GCD of 814, 974, 676, 845 is 1

2. Where do I get the detailed procedure to find GCD of 814, 974, 676, 845?

You can find a detailed procedure to find GCD of 814, 974, 676, 845 on our page.

3. How to find GCD of 814, 974, 676, 845 on a calculator?

You can find the GCD of 814, 974, 676, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.