GCD of 280, 789, 739 Calculator

Given Input numbers are 280, 789, 739

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 280, 789, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 789, 739 is 1.

Therefore, GCD of numbers 280, 789, 739 is 1

Given Input Data is 280, 789, 739

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 789 is 3 x 263

Prime Factorization of 739 is 739

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, 789) = 220920

GCD(280, 789) = ( 280 x 789 ) / 220920

GCD(280, 789) = 220920 / 220920

GCD(280, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 280, 789, 739 is 1

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1. What is the GCD of 280, 789, 739?

GCD of 280, 789, 739 is 1

2. Where do I get the detailed procedure to find GCD of 280, 789, 739?

You can find a detailed procedure to find GCD of 280, 789, 739 on our page.

3. How to find GCD of 280, 789, 739 on a calculator?

You can find the GCD of 280, 789, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.