GCD of 766, 538, 913 Calculator

Given Input numbers are 766, 538, 913

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 766, 538, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 538, 913 is 1.

Therefore, GCD of numbers 766, 538, 913 is 1

Given Input Data is 766, 538, 913

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 538 is 2 x 269

Prime Factorization of 913 is 11 x 83

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(766, 538) = 206054

GCD(766, 538) = ( 766 x 538 ) / 206054

GCD(766, 538) = 412108 / 206054

GCD(766, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

GCD of 766, 538, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 921, 621
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• GCD of 252, 226, 981
• GCD of 258, 768, 749
• GCD of 488, 852, 982

1. What is the GCD of 766, 538, 913?

GCD of 766, 538, 913 is 1

2. Where do I get the detailed procedure to find GCD of 766, 538, 913?

You can find a detailed procedure to find GCD of 766, 538, 913 on our page.

3. How to find GCD of 766, 538, 913 on a calculator?

You can find the GCD of 766, 538, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.