GCD of 106, 301, 68, 743 Calculator

Given Input numbers are 106, 301, 68, 743

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 106, 301, 68, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 301, 68, 743 is 1.

Therefore, GCD of numbers 106, 301, 68, 743 is 1

Given Input Data is 106, 301, 68, 743

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 301 is 7 x 43

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 743 is 743

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, 301) = 31906

GCD(106, 301) = ( 106 x 301 ) / 31906

GCD(106, 301) = 31906 / 31906

GCD(106, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 106, 301, 68, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 861, 74, 223
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• GCD of 464, 329, 30, 352

1. What is the GCD of 106, 301, 68, 743?

GCD of 106, 301, 68, 743 is 1

2. Where do I get the detailed procedure to find GCD of 106, 301, 68, 743?

You can find a detailed procedure to find GCD of 106, 301, 68, 743 on our page.

3. How to find GCD of 106, 301, 68, 743 on a calculator?

You can find the GCD of 106, 301, 68, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.