GCD of 680, 906, 24 Calculator

Given Input numbers are 680, 906, 24

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 680, 906, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 906, 24 is 2.

Therefore, GCD of numbers 680, 906, 24 is 2

Given Input Data is 680, 906, 24

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 906 is 2 x 3 x 151

Prime Factorization of 24 is 2 x 2 x 2 x 3

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, 906) = 308040

GCD(680, 906) = ( 680 x 906 ) / 308040

GCD(680, 906) = 616080 / 308040

GCD(680, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

GCD of 680, 906, 24 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 260, 96
• GCD of 535, 286, 48
• GCD of 930, 803, 95
• GCD of 347, 391, 80
• GCD of 380, 316, 85

1. What is the GCD of 680, 906, 24?

GCD of 680, 906, 24 is 2

2. Where do I get the detailed procedure to find GCD of 680, 906, 24?

You can find a detailed procedure to find GCD of 680, 906, 24 on our page.

3. How to find GCD of 680, 906, 24 on a calculator?

You can find the GCD of 680, 906, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.