GCD of 680, 218, 960, 704 Calculator

Given Input numbers are 680, 218, 960, 704

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 680, 218, 960, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 218, 960, 704 is 2.

Therefore, GCD of numbers 680, 218, 960, 704 is 2

Given Input Data is 680, 218, 960, 704

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 218 is 2 x 109

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 218) = 74120

GCD(680, 218) = ( 680 x 218 ) / 74120

GCD(680, 218) = 148240 / 74120

GCD(680, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

GCD of 680, 218, 960, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 564, 784, 207
• GCD of 834, 176, 688, 740
• GCD of 906, 382, 188, 208
• GCD of 646, 471, 957, 804
• GCD of 614, 111, 540, 271

1. What is the GCD of 680, 218, 960, 704?

GCD of 680, 218, 960, 704 is 2

2. Where do I get the detailed procedure to find GCD of 680, 218, 960, 704?

You can find a detailed procedure to find GCD of 680, 218, 960, 704 on our page.

3. How to find GCD of 680, 218, 960, 704 on a calculator?

You can find the GCD of 680, 218, 960, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.