GCD of 680, 870, 470, 308 Calculator

Given Input numbers are 680, 870, 470, 308

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 680, 870, 470, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 870, 470, 308 is 2.

Therefore, GCD of numbers 680, 870, 470, 308 is 2

Given Input Data is 680, 870, 470, 308

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 308 is 2 x 2 x 7 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, 870) = 59160

GCD(680, 870) = ( 680 x 870 ) / 59160

GCD(680, 870) = 591600 / 59160

GCD(680, 870) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 470

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

LCM(10, 470) = 470

GCD(10, 470) = ( 10 x 470 ) / 470

GCD(10, 470) = 4700 / 470

GCD(10, 470) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 308

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

LCM(10, 308) = 1540

GCD(10, 308) = ( 10 x 308 ) / 1540

GCD(10, 308) = 3080 / 1540

GCD(10, 308) = 2

GCD of 680, 870, 470, 308 is 2

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1. What is the GCD of 680, 870, 470, 308?

GCD of 680, 870, 470, 308 is 2

2. Where do I get the detailed procedure to find GCD of 680, 870, 470, 308?

You can find a detailed procedure to find GCD of 680, 870, 470, 308 on our page.

3. How to find GCD of 680, 870, 470, 308 on a calculator?

You can find the GCD of 680, 870, 470, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.