GCD of 998, 824, 565, 710 Calculator

Given Input numbers are 998, 824, 565, 710

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 998, 824, 565, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 824, 565, 710 is 1.

Therefore, GCD of numbers 998, 824, 565, 710 is 1

Given Input Data is 998, 824, 565, 710

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 565 is 5 x 113

Prime Factorization of 710 is 2 x 5 x 71

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(998, 824) = 411176

GCD(998, 824) = ( 998 x 824 ) / 411176

GCD(998, 824) = 822352 / 411176

GCD(998, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 998, 824, 565, 710 is 1

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1. What is the GCD of 998, 824, 565, 710?

GCD of 998, 824, 565, 710 is 1

2. Where do I get the detailed procedure to find GCD of 998, 824, 565, 710?

You can find a detailed procedure to find GCD of 998, 824, 565, 710 on our page.

3. How to find GCD of 998, 824, 565, 710 on a calculator?

You can find the GCD of 998, 824, 565, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.