GCD of 226, 642, 759, 104 Calculator

Given Input numbers are 226, 642, 759, 104

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 226, 642, 759, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 642, 759, 104 is 1.

Therefore, GCD of numbers 226, 642, 759, 104 is 1

Given Input Data is 226, 642, 759, 104

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(226, 642) = 72546

GCD(226, 642) = ( 226 x 642 ) / 72546

GCD(226, 642) = 145092 / 72546

GCD(226, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 226, 642, 759, 104 is 1

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1. What is the GCD of 226, 642, 759, 104?

GCD of 226, 642, 759, 104 is 1

2. Where do I get the detailed procedure to find GCD of 226, 642, 759, 104?

You can find a detailed procedure to find GCD of 226, 642, 759, 104 on our page.

3. How to find GCD of 226, 642, 759, 104 on a calculator?

You can find the GCD of 226, 642, 759, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.