GCD of 983, 140, 425, 689 Calculator

Given Input numbers are 983, 140, 425, 689

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 983, 140, 425, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 140, 425, 689 is 1.

Therefore, GCD of numbers 983, 140, 425, 689 is 1

Given Input Data is 983, 140, 425, 689

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

Prime Factorization of 983 is 983

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 689 is 13 x 53

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(983, 140) = 137620

GCD(983, 140) = ( 983 x 140 ) / 137620

GCD(983, 140) = 137620 / 137620

GCD(983, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 983, 140, 425, 689 is 1

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1. What is the GCD of 983, 140, 425, 689?

GCD of 983, 140, 425, 689 is 1

2. Where do I get the detailed procedure to find GCD of 983, 140, 425, 689?

You can find a detailed procedure to find GCD of 983, 140, 425, 689 on our page.

3. How to find GCD of 983, 140, 425, 689 on a calculator?

You can find the GCD of 983, 140, 425, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.