GCD of 106, 682, 85, 480 Calculator

Given Input numbers are 106, 682, 85, 480

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Greatest Common Divisior

We found the divisors of 106, 682, 85, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 682, 85, 480 is 1.

Therefore, GCD of numbers 106, 682, 85, 480 is 1

Given Input Data is 106, 682, 85, 480

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 85 is 5 x 17

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(106, 682) = 36146

GCD(106, 682) = ( 106 x 682 ) / 36146

GCD(106, 682) = 72292 / 36146

GCD(106, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 106, 682, 85, 480 is 1

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1. What is the GCD of 106, 682, 85, 480?

GCD of 106, 682, 85, 480 is 1

2. Where do I get the detailed procedure to find GCD of 106, 682, 85, 480?

You can find a detailed procedure to find GCD of 106, 682, 85, 480 on our page.

3. How to find GCD of 106, 682, 85, 480 on a calculator?

You can find the GCD of 106, 682, 85, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.