GCD of 982, 380, 85, 738 Calculator

Given Input numbers are 982, 380, 85, 738

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

Divisors of 982

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

1, 2, 491, 982

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 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 982, 380, 85, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 380, 85, 738 is 1.

Therefore, GCD of numbers 982, 380, 85, 738 is 1

Given Input Data is 982, 380, 85, 738

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

Prime Factorization of 982 is 2 x 491

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(982, 380) = 186580

GCD(982, 380) = ( 982 x 380 ) / 186580

GCD(982, 380) = 373160 / 186580

GCD(982, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 982, 380, 85, 738 is 1

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1. What is the GCD of 982, 380, 85, 738?

GCD of 982, 380, 85, 738 is 1

2. Where do I get the detailed procedure to find GCD of 982, 380, 85, 738?

You can find a detailed procedure to find GCD of 982, 380, 85, 738 on our page.

3. How to find GCD of 982, 380, 85, 738 on a calculator?

You can find the GCD of 982, 380, 85, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.