GCD of 764, 413, 89, 893 Calculator

Given Input numbers are 764, 413, 89, 893

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 764, 413, 89, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 413, 89, 893 is 1.

Therefore, GCD of numbers 764, 413, 89, 893 is 1

Given Input Data is 764, 413, 89, 893

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 413 is 7 x 59

Prime Factorization of 89 is 89

Prime Factorization of 893 is 19 x 47

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(764, 413) = 315532

GCD(764, 413) = ( 764 x 413 ) / 315532

GCD(764, 413) = 315532 / 315532

GCD(764, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 764, 413, 89, 893 is 1

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1. What is the GCD of 764, 413, 89, 893?

GCD of 764, 413, 89, 893 is 1

2. Where do I get the detailed procedure to find GCD of 764, 413, 89, 893?

You can find a detailed procedure to find GCD of 764, 413, 89, 893 on our page.

3. How to find GCD of 764, 413, 89, 893 on a calculator?

You can find the GCD of 764, 413, 89, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.