GCD of 280, 428, 992, 599 Calculator

Given Input numbers are 280, 428, 992, 599

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

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 280, 428, 992, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 428, 992, 599 is 1.

Therefore, GCD of numbers 280, 428, 992, 599 is 1

Given Input Data is 280, 428, 992, 599

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

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 599 is 599

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(280, 428) = 29960

GCD(280, 428) = ( 280 x 428 ) / 29960

GCD(280, 428) = 119840 / 29960

GCD(280, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 992

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

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

GCD(4, 992) = 3968 / 992

GCD(4, 992) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 599

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

LCM(4, 599) = 2396

GCD(4, 599) = ( 4 x 599 ) / 2396

GCD(4, 599) = 2396 / 2396

GCD(4, 599) = 1

GCD of 280, 428, 992, 599 is 1

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1. What is the GCD of 280, 428, 992, 599?

GCD of 280, 428, 992, 599 is 1

2. Where do I get the detailed procedure to find GCD of 280, 428, 992, 599?

You can find a detailed procedure to find GCD of 280, 428, 992, 599 on our page.

3. How to find GCD of 280, 428, 992, 599 on a calculator?

You can find the GCD of 280, 428, 992, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.