GCD of 103, 234, 761, 638 Calculator

Given Input numbers are 103, 234, 761, 638

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 103, 234, 761, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 234, 761, 638 is 1.

Therefore, GCD of numbers 103, 234, 761, 638 is 1

Given Input Data is 103, 234, 761, 638

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

Prime Factorization of 103 is 103

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 761 is 761

Prime Factorization of 638 is 2 x 11 x 29

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, 234) = 24102

GCD(103, 234) = ( 103 x 234 ) / 24102

GCD(103, 234) = 24102 / 24102

GCD(103, 234) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 103, 234, 761, 638 is 1

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1. What is the GCD of 103, 234, 761, 638?

GCD of 103, 234, 761, 638 is 1

2. Where do I get the detailed procedure to find GCD of 103, 234, 761, 638?

You can find a detailed procedure to find GCD of 103, 234, 761, 638 on our page.

3. How to find GCD of 103, 234, 761, 638 on a calculator?

You can find the GCD of 103, 234, 761, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.