GCD of 280, 691, 25, 509 Calculator

Given Input numbers are 280, 691, 25, 509

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 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 280, 691, 25, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 691, 25, 509 is 1.

Therefore, GCD of numbers 280, 691, 25, 509 is 1

Given Input Data is 280, 691, 25, 509

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 691 is 691

Prime Factorization of 25 is 5 x 5

Prime Factorization of 509 is 509

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, 691) = 193480

GCD(280, 691) = ( 280 x 691 ) / 193480

GCD(280, 691) = 193480 / 193480

GCD(280, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 280, 691, 25, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 392, 50, 110
• GCD of 238, 327, 53, 315
• GCD of 103, 555, 44, 615
• GCD of 513, 698, 95, 687
• GCD of 417, 142, 28, 480

1. What is the GCD of 280, 691, 25, 509?

GCD of 280, 691, 25, 509 is 1

2. Where do I get the detailed procedure to find GCD of 280, 691, 25, 509?

You can find a detailed procedure to find GCD of 280, 691, 25, 509 on our page.

3. How to find GCD of 280, 691, 25, 509 on a calculator?

You can find the GCD of 280, 691, 25, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.