GCD of 103, 623, 713, 122 Calculator

Given Input numbers are 103, 623, 713, 122

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

Divisors of 103

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

1, 103

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 103, 623, 713, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 623, 713, 122 is 1.

Therefore, GCD of numbers 103, 623, 713, 122 is 1

Given Input Data is 103, 623, 713, 122

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

Prime Factorization of 103 is 103

Prime Factorization of 623 is 7 x 89

Prime Factorization of 713 is 23 x 31

Prime Factorization of 122 is 2 x 61

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(103, 623) = 64169

GCD(103, 623) = ( 103 x 623 ) / 64169

GCD(103, 623) = 64169 / 64169

GCD(103, 623) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 103, 623, 713, 122 is 1

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1. What is the GCD of 103, 623, 713, 122?

GCD of 103, 623, 713, 122 is 1

2. Where do I get the detailed procedure to find GCD of 103, 623, 713, 122?

You can find a detailed procedure to find GCD of 103, 623, 713, 122 on our page.

3. How to find GCD of 103, 623, 713, 122 on a calculator?

You can find the GCD of 103, 623, 713, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.