GCD of 284, 856, 790, 735 Calculator

Given Input numbers are 284, 856, 790, 735

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 284, 856, 790, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 856, 790, 735 is 1.

Therefore, GCD of numbers 284, 856, 790, 735 is 1

Given Input Data is 284, 856, 790, 735

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(284, 856) = 60776

GCD(284, 856) = ( 284 x 856 ) / 60776

GCD(284, 856) = 243104 / 60776

GCD(284, 856) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 790

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

LCM(4, 790) = 1580

GCD(4, 790) = ( 4 x 790 ) / 1580

GCD(4, 790) = 3160 / 1580

GCD(4, 790) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 284, 856, 790, 735 is 1

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1. What is the GCD of 284, 856, 790, 735?

GCD of 284, 856, 790, 735 is 1

2. Where do I get the detailed procedure to find GCD of 284, 856, 790, 735?

You can find a detailed procedure to find GCD of 284, 856, 790, 735 on our page.

3. How to find GCD of 284, 856, 790, 735 on a calculator?

You can find the GCD of 284, 856, 790, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.