GCD of 280, 655, 791, 713 Calculator

Given Input numbers are 280, 655, 791, 713

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 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 280, 655, 791, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 655, 791, 713 is 1.

Therefore, GCD of numbers 280, 655, 791, 713 is 1

Given Input Data is 280, 655, 791, 713

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 655 is 5 x 131

Prime Factorization of 791 is 7 x 113

Prime Factorization of 713 is 23 x 31

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, 655) = 36680

GCD(280, 655) = ( 280 x 655 ) / 36680

GCD(280, 655) = 183400 / 36680

GCD(280, 655) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 791

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

LCM(5, 791) = 3955

GCD(5, 791) = ( 5 x 791 ) / 3955

GCD(5, 791) = 3955 / 3955

GCD(5, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 280, 655, 791, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 758, 710, 893
• GCD of 367, 144, 478, 317
• GCD of 915, 498, 958, 882
• GCD of 796, 311, 207, 787
• GCD of 891, 804, 304, 699

1. What is the GCD of 280, 655, 791, 713?

GCD of 280, 655, 791, 713 is 1

2. Where do I get the detailed procedure to find GCD of 280, 655, 791, 713?

You can find a detailed procedure to find GCD of 280, 655, 791, 713 on our page.

3. How to find GCD of 280, 655, 791, 713 on a calculator?

You can find the GCD of 280, 655, 791, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.