GCD of 259, 803, 58, 280 Calculator

Given Input numbers are 259, 803, 58, 280

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 259, 803, 58, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 803, 58, 280 is 1.

Therefore, GCD of numbers 259, 803, 58, 280 is 1

Given Input Data is 259, 803, 58, 280

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 803 is 11 x 73

Prime Factorization of 58 is 2 x 29

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(259, 803) = 207977

GCD(259, 803) = ( 259 x 803 ) / 207977

GCD(259, 803) = 207977 / 207977

GCD(259, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 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 259, 803, 58, 280 is 1

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• GCD of 715, 934, 55, 767
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1. What is the GCD of 259, 803, 58, 280?

GCD of 259, 803, 58, 280 is 1

2. Where do I get the detailed procedure to find GCD of 259, 803, 58, 280?

You can find a detailed procedure to find GCD of 259, 803, 58, 280 on our page.

3. How to find GCD of 259, 803, 58, 280 on a calculator?

You can find the GCD of 259, 803, 58, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.