GCD of 577, 406, 998, 280 Calculator

Given Input numbers are 577, 406, 998, 280

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 998

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

1, 2, 499, 998

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 577, 406, 998, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 406, 998, 280 is 1.

Therefore, GCD of numbers 577, 406, 998, 280 is 1

Given Input Data is 577, 406, 998, 280

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

Prime Factorization of 577 is 577

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 998 is 2 x 499

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(577, 406) = 234262

GCD(577, 406) = ( 577 x 406 ) / 234262

GCD(577, 406) = 234262 / 234262

GCD(577, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 577, 406, 998, 280 is 1

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1. What is the GCD of 577, 406, 998, 280?

GCD of 577, 406, 998, 280 is 1

2. Where do I get the detailed procedure to find GCD of 577, 406, 998, 280?

You can find a detailed procedure to find GCD of 577, 406, 998, 280 on our page.

3. How to find GCD of 577, 406, 998, 280 on a calculator?

You can find the GCD of 577, 406, 998, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.