GCD of 392, 726, 570, 106 Calculator

Given Input numbers are 392, 726, 570, 106

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 392, 726, 570, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 726, 570, 106 is 2.

Therefore, GCD of numbers 392, 726, 570, 106 is 2

Given Input Data is 392, 726, 570, 106

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 106 is 2 x 53

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(392, 726) = 142296

GCD(392, 726) = ( 392 x 726 ) / 142296

GCD(392, 726) = 284592 / 142296

GCD(392, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 570

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

LCM(2, 570) = 570

GCD(2, 570) = ( 2 x 570 ) / 570

GCD(2, 570) = 1140 / 570

GCD(2, 570) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 392, 726, 570, 106 is 2

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1. What is the GCD of 392, 726, 570, 106?

GCD of 392, 726, 570, 106 is 2

2. Where do I get the detailed procedure to find GCD of 392, 726, 570, 106?

You can find a detailed procedure to find GCD of 392, 726, 570, 106 on our page.

3. How to find GCD of 392, 726, 570, 106 on a calculator?

You can find the GCD of 392, 726, 570, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.