GCD of 782, 516, 83, 921 Calculator

Given Input numbers are 782, 516, 83, 921

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 782, 516, 83, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 516, 83, 921 is 1.

Therefore, GCD of numbers 782, 516, 83, 921 is 1

Given Input Data is 782, 516, 83, 921

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 83 is 83

Prime Factorization of 921 is 3 x 307

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(782, 516) = 201756

GCD(782, 516) = ( 782 x 516 ) / 201756

GCD(782, 516) = 403512 / 201756

GCD(782, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 782, 516, 83, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 706, 25, 401
• GCD of 288, 578, 96, 402
• GCD of 932, 649, 39, 848
• GCD of 398, 844, 61, 444
• GCD of 234, 640, 74, 118

1. What is the GCD of 782, 516, 83, 921?

GCD of 782, 516, 83, 921 is 1

2. Where do I get the detailed procedure to find GCD of 782, 516, 83, 921?

You can find a detailed procedure to find GCD of 782, 516, 83, 921 on our page.

3. How to find GCD of 782, 516, 83, 921 on a calculator?

You can find the GCD of 782, 516, 83, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.