GCD of 689, 438, 83, 140 Calculator

Given Input numbers are 689, 438, 83, 140

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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

Greatest Common Divisior

We found the divisors of 689, 438, 83, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 438, 83, 140 is 1.

Therefore, GCD of numbers 689, 438, 83, 140 is 1

Given Input Data is 689, 438, 83, 140

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 83 is 83

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

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(689, 438) = 301782

GCD(689, 438) = ( 689 x 438 ) / 301782

GCD(689, 438) = 301782 / 301782

GCD(689, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 689, 438, 83, 140 is 1

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1. What is the GCD of 689, 438, 83, 140?

GCD of 689, 438, 83, 140 is 1

2. Where do I get the detailed procedure to find GCD of 689, 438, 83, 140?

You can find a detailed procedure to find GCD of 689, 438, 83, 140 on our page.

3. How to find GCD of 689, 438, 83, 140 on a calculator?

You can find the GCD of 689, 438, 83, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.