GCD of 823, 498, 708, 662 Calculator

Given Input numbers are 823, 498, 708, 662

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

Divisors of 823

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

1, 823

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 823, 498, 708, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 498, 708, 662 is 1.

Therefore, GCD of numbers 823, 498, 708, 662 is 1

Given Input Data is 823, 498, 708, 662

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

Prime Factorization of 823 is 823

Prime Factorization of 498 is 2 x 3 x 83

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

Prime Factorization of 662 is 2 x 331

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(823, 498) = 409854

GCD(823, 498) = ( 823 x 498 ) / 409854

GCD(823, 498) = 409854 / 409854

GCD(823, 498) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

GCD of 823, 498, 708, 662 is 1

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1. What is the GCD of 823, 498, 708, 662?

GCD of 823, 498, 708, 662 is 1

2. Where do I get the detailed procedure to find GCD of 823, 498, 708, 662?

You can find a detailed procedure to find GCD of 823, 498, 708, 662 on our page.

3. How to find GCD of 823, 498, 708, 662 on a calculator?

You can find the GCD of 823, 498, 708, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.