GCD of 692, 380, 982, 903 Calculator

Given Input numbers are 692, 380, 982, 903

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 692, 380, 982, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 380, 982, 903 is 1.

Therefore, GCD of numbers 692, 380, 982, 903 is 1

Given Input Data is 692, 380, 982, 903

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 982 is 2 x 491

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(692, 380) = 65740

GCD(692, 380) = ( 692 x 380 ) / 65740

GCD(692, 380) = 262960 / 65740

GCD(692, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 982

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

LCM(4, 982) = 1964

GCD(4, 982) = ( 4 x 982 ) / 1964

GCD(4, 982) = 3928 / 1964

GCD(4, 982) = 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 692, 380, 982, 903 is 1

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1. What is the GCD of 692, 380, 982, 903?

GCD of 692, 380, 982, 903 is 1

2. Where do I get the detailed procedure to find GCD of 692, 380, 982, 903?

You can find a detailed procedure to find GCD of 692, 380, 982, 903 on our page.

3. How to find GCD of 692, 380, 982, 903 on a calculator?

You can find the GCD of 692, 380, 982, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.