GCD of 680, 862, 571, 914 Calculator

Given Input numbers are 680, 862, 571, 914

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 680, 862, 571, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 862, 571, 914 is 1.

Therefore, GCD of numbers 680, 862, 571, 914 is 1

Given Input Data is 680, 862, 571, 914

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 862 is 2 x 431

Prime Factorization of 571 is 571

Prime Factorization of 914 is 2 x 457

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, 862) = 293080

GCD(680, 862) = ( 680 x 862 ) / 293080

GCD(680, 862) = 586160 / 293080

GCD(680, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 571

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

LCM(2, 571) = 1142

GCD(2, 571) = ( 2 x 571 ) / 1142

GCD(2, 571) = 1142 / 1142

GCD(2, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 680, 862, 571, 914 is 1

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1. What is the GCD of 680, 862, 571, 914?

GCD of 680, 862, 571, 914 is 1

2. Where do I get the detailed procedure to find GCD of 680, 862, 571, 914?

You can find a detailed procedure to find GCD of 680, 862, 571, 914 on our page.

3. How to find GCD of 680, 862, 571, 914 on a calculator?

You can find the GCD of 680, 862, 571, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.