GCD of 680, 863, 143, 698 Calculator

Given Input numbers are 680, 863, 143, 698

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 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 680, 863, 143, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 863, 143, 698 is 1.

Therefore, GCD of numbers 680, 863, 143, 698 is 1

Given Input Data is 680, 863, 143, 698

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 863 is 863

Prime Factorization of 143 is 11 x 13

Prime Factorization of 698 is 2 x 349

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, 863) = 586840

GCD(680, 863) = ( 680 x 863 ) / 586840

GCD(680, 863) = 586840 / 586840

GCD(680, 863) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 680, 863, 143, 698 is 1

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1. What is the GCD of 680, 863, 143, 698?

GCD of 680, 863, 143, 698 is 1

2. Where do I get the detailed procedure to find GCD of 680, 863, 143, 698?

You can find a detailed procedure to find GCD of 680, 863, 143, 698 on our page.

3. How to find GCD of 680, 863, 143, 698 on a calculator?

You can find the GCD of 680, 863, 143, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.