GCD of 785, 584, 710, 279 Calculator

Given Input numbers are 785, 584, 710, 279

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 785, 584, 710, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 584, 710, 279 is 1.

Therefore, GCD of numbers 785, 584, 710, 279 is 1

Given Input Data is 785, 584, 710, 279

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 279 is 3 x 3 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(785, 584) = 458440

GCD(785, 584) = ( 785 x 584 ) / 458440

GCD(785, 584) = 458440 / 458440

GCD(785, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 785, 584, 710, 279 is 1

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1. What is the GCD of 785, 584, 710, 279?

GCD of 785, 584, 710, 279 is 1

2. Where do I get the detailed procedure to find GCD of 785, 584, 710, 279?

You can find a detailed procedure to find GCD of 785, 584, 710, 279 on our page.

3. How to find GCD of 785, 584, 710, 279 on a calculator?

You can find the GCD of 785, 584, 710, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.