GCD of 705, 114, 782, 203 Calculator

Given Input numbers are 705, 114, 782, 203

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 705, 114, 782, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 114, 782, 203 is 1.

Therefore, GCD of numbers 705, 114, 782, 203 is 1

Given Input Data is 705, 114, 782, 203

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 203 is 7 x 29

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(705, 114) = 26790

GCD(705, 114) = ( 705 x 114 ) / 26790

GCD(705, 114) = 80370 / 26790

GCD(705, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 782

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

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

GCD(3, 782) = 2346 / 2346

GCD(3, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 705, 114, 782, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 410, 168, 995
• GCD of 180, 406, 124, 679
• GCD of 734, 827, 748, 271
• GCD of 603, 472, 283, 785
• GCD of 115, 713, 204, 778

1. What is the GCD of 705, 114, 782, 203?

GCD of 705, 114, 782, 203 is 1

2. Where do I get the detailed procedure to find GCD of 705, 114, 782, 203?

You can find a detailed procedure to find GCD of 705, 114, 782, 203 on our page.

3. How to find GCD of 705, 114, 782, 203 on a calculator?

You can find the GCD of 705, 114, 782, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.