GCD of 982, 142, 457, 969 Calculator

Given Input numbers are 982, 142, 457, 969

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 982, 142, 457, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 142, 457, 969 is 1.

Therefore, GCD of numbers 982, 142, 457, 969 is 1

Given Input Data is 982, 142, 457, 969

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 142 is 2 x 71

Prime Factorization of 457 is 457

Prime Factorization of 969 is 3 x 17 x 19

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, 142) = 69722

GCD(982, 142) = ( 982 x 142 ) / 69722

GCD(982, 142) = 139444 / 69722

GCD(982, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 457

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

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

GCD(2, 457) = 914 / 914

GCD(2, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 982, 142, 457, 969 is 1

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1. What is the GCD of 982, 142, 457, 969?

GCD of 982, 142, 457, 969 is 1

2. Where do I get the detailed procedure to find GCD of 982, 142, 457, 969?

You can find a detailed procedure to find GCD of 982, 142, 457, 969 on our page.

3. How to find GCD of 982, 142, 457, 969 on a calculator?

You can find the GCD of 982, 142, 457, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.