GCD of 280, 796, 744, 665 Calculator

Given Input numbers are 280, 796, 744, 665

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 280, 796, 744, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 796, 744, 665 is 1.

Therefore, GCD of numbers 280, 796, 744, 665 is 1

Given Input Data is 280, 796, 744, 665

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 796 is 2 x 2 x 199

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 665 is 5 x 7 x 19

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, 796) = 55720

GCD(280, 796) = ( 280 x 796 ) / 55720

GCD(280, 796) = 222880 / 55720

GCD(280, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 744

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

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

GCD(4, 744) = 2976 / 744

GCD(4, 744) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 665

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

LCM(4, 665) = 2660

GCD(4, 665) = ( 4 x 665 ) / 2660

GCD(4, 665) = 2660 / 2660

GCD(4, 665) = 1

GCD of 280, 796, 744, 665 is 1

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1. What is the GCD of 280, 796, 744, 665?

GCD of 280, 796, 744, 665 is 1

2. Where do I get the detailed procedure to find GCD of 280, 796, 744, 665?

You can find a detailed procedure to find GCD of 280, 796, 744, 665 on our page.

3. How to find GCD of 280, 796, 744, 665 on a calculator?

You can find the GCD of 280, 796, 744, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.