GCD of 680, 838, 783, 659 Calculator

Given Input numbers are 680, 838, 783, 659

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 680, 838, 783, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 838, 783, 659 is 1.

Therefore, GCD of numbers 680, 838, 783, 659 is 1

Given Input Data is 680, 838, 783, 659

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 838 is 2 x 419

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 659 is 659

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(680, 838) = 284920

GCD(680, 838) = ( 680 x 838 ) / 284920

GCD(680, 838) = 569840 / 284920

GCD(680, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 783

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

LCM(2, 783) = 1566

GCD(2, 783) = ( 2 x 783 ) / 1566

GCD(2, 783) = 1566 / 1566

GCD(2, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 680, 838, 783, 659 is 1

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1. What is the GCD of 680, 838, 783, 659?

GCD of 680, 838, 783, 659 is 1

2. Where do I get the detailed procedure to find GCD of 680, 838, 783, 659?

You can find a detailed procedure to find GCD of 680, 838, 783, 659 on our page.

3. How to find GCD of 680, 838, 783, 659 on a calculator?

You can find the GCD of 680, 838, 783, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.