GCD of 982, 312, 357, 645 Calculator

Given Input numbers are 982, 312, 357, 645

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 982, 312, 357, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 312, 357, 645 is 1.

Therefore, GCD of numbers 982, 312, 357, 645 is 1

Given Input Data is 982, 312, 357, 645

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 645 is 3 x 5 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(982, 312) = 153192

GCD(982, 312) = ( 982 x 312 ) / 153192

GCD(982, 312) = 306384 / 153192

GCD(982, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 982, 312, 357, 645 is 1

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1. What is the GCD of 982, 312, 357, 645?

GCD of 982, 312, 357, 645 is 1

2. Where do I get the detailed procedure to find GCD of 982, 312, 357, 645?

You can find a detailed procedure to find GCD of 982, 312, 357, 645 on our page.

3. How to find GCD of 982, 312, 357, 645 on a calculator?

You can find the GCD of 982, 312, 357, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.