GCD of 355, 849, 785, 850 Calculator

Given Input numbers are 355, 849, 785, 850

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 785

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

1, 5, 157, 785

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 355, 849, 785, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 849, 785, 850 is 1.

Therefore, GCD of numbers 355, 849, 785, 850 is 1

Given Input Data is 355, 849, 785, 850

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 849 is 3 x 283

Prime Factorization of 785 is 5 x 157

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(355, 849) = 301395

GCD(355, 849) = ( 355 x 849 ) / 301395

GCD(355, 849) = 301395 / 301395

GCD(355, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 355, 849, 785, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 332, 100, 785
• GCD of 925, 761, 709, 947
• GCD of 305, 878, 501, 558
• GCD of 117, 199, 106, 150
• GCD of 870, 276, 608, 944

1. What is the GCD of 355, 849, 785, 850?

GCD of 355, 849, 785, 850 is 1

2. Where do I get the detailed procedure to find GCD of 355, 849, 785, 850?

You can find a detailed procedure to find GCD of 355, 849, 785, 850 on our page.

3. How to find GCD of 355, 849, 785, 850 on a calculator?

You can find the GCD of 355, 849, 785, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.