GCD of 516, 823, 91, 708 Calculator

Given Input numbers are 516, 823, 91, 708

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

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 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 516, 823, 91, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 823, 91, 708 is 1.

Therefore, GCD of numbers 516, 823, 91, 708 is 1

Given Input Data is 516, 823, 91, 708

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

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

Prime Factorization of 823 is 823

Prime Factorization of 91 is 7 x 13

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(516, 823) = 424668

GCD(516, 823) = ( 516 x 823 ) / 424668

GCD(516, 823) = 424668 / 424668

GCD(516, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 516, 823, 91, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 822, 21, 166
• GCD of 810, 128, 82, 183
• GCD of 563, 741, 97, 593
• GCD of 169, 552, 75, 904
• GCD of 357, 197, 15, 724

1. What is the GCD of 516, 823, 91, 708?

GCD of 516, 823, 91, 708 is 1

2. Where do I get the detailed procedure to find GCD of 516, 823, 91, 708?

You can find a detailed procedure to find GCD of 516, 823, 91, 708 on our page.

3. How to find GCD of 516, 823, 91, 708 on a calculator?

You can find the GCD of 516, 823, 91, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.