GCD of 982, 354, 683, 119 Calculator

Given Input numbers are 982, 354, 683, 119

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 982, 354, 683, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 354, 683, 119 is 1.

Therefore, GCD of numbers 982, 354, 683, 119 is 1

Given Input Data is 982, 354, 683, 119

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 683 is 683

Prime Factorization of 119 is 7 x 17

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, 354) = 173814

GCD(982, 354) = ( 982 x 354 ) / 173814

GCD(982, 354) = 347628 / 173814

GCD(982, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 982, 354, 683, 119 is 1

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1. What is the GCD of 982, 354, 683, 119?

GCD of 982, 354, 683, 119 is 1

2. Where do I get the detailed procedure to find GCD of 982, 354, 683, 119?

You can find a detailed procedure to find GCD of 982, 354, 683, 119 on our page.

3. How to find GCD of 982, 354, 683, 119 on a calculator?

You can find the GCD of 982, 354, 683, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.