GCD of 769, 539, 82, 784 Calculator

Given Input numbers are 769, 539, 82, 784

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 769, 539, 82, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 539, 82, 784 is 1.

Therefore, GCD of numbers 769, 539, 82, 784 is 1

Given Input Data is 769, 539, 82, 784

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

Prime Factorization of 769 is 769

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 82 is 2 x 41

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(769, 539) = 414491

GCD(769, 539) = ( 769 x 539 ) / 414491

GCD(769, 539) = 414491 / 414491

GCD(769, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 769, 539, 82, 784 is 1

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1. What is the GCD of 769, 539, 82, 784?

GCD of 769, 539, 82, 784 is 1

2. Where do I get the detailed procedure to find GCD of 769, 539, 82, 784?

You can find a detailed procedure to find GCD of 769, 539, 82, 784 on our page.

3. How to find GCD of 769, 539, 82, 784 on a calculator?

You can find the GCD of 769, 539, 82, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.