GCD of 706, 427, 18, 103 Calculator

Given Input numbers are 706, 427, 18, 103

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 706, 427, 18, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 427, 18, 103 is 1.

Therefore, GCD of numbers 706, 427, 18, 103 is 1

Given Input Data is 706, 427, 18, 103

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 427 is 7 x 61

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 103 is 103

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(706, 427) = 301462

GCD(706, 427) = ( 706 x 427 ) / 301462

GCD(706, 427) = 301462 / 301462

GCD(706, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 706, 427, 18, 103 is 1

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1. What is the GCD of 706, 427, 18, 103?

GCD of 706, 427, 18, 103 is 1

2. Where do I get the detailed procedure to find GCD of 706, 427, 18, 103?

You can find a detailed procedure to find GCD of 706, 427, 18, 103 on our page.

3. How to find GCD of 706, 427, 18, 103 on a calculator?

You can find the GCD of 706, 427, 18, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.