GCD of 680, 778, 258, 884 Calculator

Given Input numbers are 680, 778, 258, 884

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 680, 778, 258, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 778, 258, 884 is 2.

Therefore, GCD of numbers 680, 778, 258, 884 is 2

Given Input Data is 680, 778, 258, 884

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 778 is 2 x 389

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 884 is 2 x 2 x 13 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 778) = 264520

GCD(680, 778) = ( 680 x 778 ) / 264520

GCD(680, 778) = 529040 / 264520

GCD(680, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 680, 778, 258, 884 is 2

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1. What is the GCD of 680, 778, 258, 884?

GCD of 680, 778, 258, 884 is 2

2. Where do I get the detailed procedure to find GCD of 680, 778, 258, 884?

You can find a detailed procedure to find GCD of 680, 778, 258, 884 on our page.

3. How to find GCD of 680, 778, 258, 884 on a calculator?

You can find the GCD of 680, 778, 258, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.