GCD of 474, 998, 87, 721 Calculator

Given Input numbers are 474, 998, 87, 721

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 998

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

1, 2, 499, 998

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 474, 998, 87, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 998, 87, 721 is 1.

Therefore, GCD of numbers 474, 998, 87, 721 is 1

Given Input Data is 474, 998, 87, 721

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 998 is 2 x 499

Prime Factorization of 87 is 3 x 29

Prime Factorization of 721 is 7 x 103

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(474, 998) = 236526

GCD(474, 998) = ( 474 x 998 ) / 236526

GCD(474, 998) = 473052 / 236526

GCD(474, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 474, 998, 87, 721 is 1

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1. What is the GCD of 474, 998, 87, 721?

GCD of 474, 998, 87, 721 is 1

2. Where do I get the detailed procedure to find GCD of 474, 998, 87, 721?

You can find a detailed procedure to find GCD of 474, 998, 87, 721 on our page.

3. How to find GCD of 474, 998, 87, 721 on a calculator?

You can find the GCD of 474, 998, 87, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.