GCD of 556, 420, 10, 680 Calculator

Given Input numbers are 556, 420, 10, 680

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 556, 420, 10, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 420, 10, 680 is 2.

Therefore, GCD of numbers 556, 420, 10, 680 is 2

Given Input Data is 556, 420, 10, 680

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 680 is 2 x 2 x 2 x 5 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(556, 420) = 58380

GCD(556, 420) = ( 556 x 420 ) / 58380

GCD(556, 420) = 233520 / 58380

GCD(556, 420) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 556, 420, 10, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 577, 46, 923
• GCD of 491, 610, 26, 422
• GCD of 917, 211, 14, 667
• GCD of 420, 225, 48, 686
• GCD of 279, 965, 93, 140

1. What is the GCD of 556, 420, 10, 680?

GCD of 556, 420, 10, 680 is 2

2. Where do I get the detailed procedure to find GCD of 556, 420, 10, 680?

You can find a detailed procedure to find GCD of 556, 420, 10, 680 on our page.

3. How to find GCD of 556, 420, 10, 680 on a calculator?

You can find the GCD of 556, 420, 10, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.