GCD of 106, 312, 669, 860 Calculator

Given Input numbers are 106, 312, 669, 860

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 106, 312, 669, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 312, 669, 860 is 1.

Therefore, GCD of numbers 106, 312, 669, 860 is 1

Given Input Data is 106, 312, 669, 860

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 669 is 3 x 223

Prime Factorization of 860 is 2 x 2 x 5 x 43

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, 312) = 16536

GCD(106, 312) = ( 106 x 312 ) / 16536

GCD(106, 312) = 33072 / 16536

GCD(106, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 106, 312, 669, 860 is 1

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1. What is the GCD of 106, 312, 669, 860?

GCD of 106, 312, 669, 860 is 1

2. Where do I get the detailed procedure to find GCD of 106, 312, 669, 860?

You can find a detailed procedure to find GCD of 106, 312, 669, 860 on our page.

3. How to find GCD of 106, 312, 669, 860 on a calculator?

You can find the GCD of 106, 312, 669, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.