GCD of 768, 986, 609, 815 Calculator

Given Input numbers are 768, 986, 609, 815

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 768, 986, 609, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 986, 609, 815 is 1.

Therefore, GCD of numbers 768, 986, 609, 815 is 1

Given Input Data is 768, 986, 609, 815

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 815 is 5 x 163

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(768, 986) = 378624

GCD(768, 986) = ( 768 x 986 ) / 378624

GCD(768, 986) = 757248 / 378624

GCD(768, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 768, 986, 609, 815 is 1

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• GCD of 962, 166, 903, 391
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1. What is the GCD of 768, 986, 609, 815?

GCD of 768, 986, 609, 815 is 1

2. Where do I get the detailed procedure to find GCD of 768, 986, 609, 815?

You can find a detailed procedure to find GCD of 768, 986, 609, 815 on our page.

3. How to find GCD of 768, 986, 609, 815 on a calculator?

You can find the GCD of 768, 986, 609, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.