GCD of 857, 629, 31, 199 Calculator

Given Input numbers are 857, 629, 31, 199

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 857, 629, 31, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 629, 31, 199 is 1.

Therefore, GCD of numbers 857, 629, 31, 199 is 1

Given Input Data is 857, 629, 31, 199

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

Prime Factorization of 857 is 857

Prime Factorization of 629 is 17 x 37

Prime Factorization of 31 is 31

Prime Factorization of 199 is 199

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(857, 629) = 539053

GCD(857, 629) = ( 857 x 629 ) / 539053

GCD(857, 629) = 539053 / 539053

GCD(857, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 857, 629, 31, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 237, 98, 763
• GCD of 859, 119, 64, 479
• GCD of 719, 450, 74, 731
• GCD of 251, 540, 91, 199
• GCD of 683, 286, 96, 258

1. What is the GCD of 857, 629, 31, 199?

GCD of 857, 629, 31, 199 is 1

2. Where do I get the detailed procedure to find GCD of 857, 629, 31, 199?

You can find a detailed procedure to find GCD of 857, 629, 31, 199 on our page.

3. How to find GCD of 857, 629, 31, 199 on a calculator?

You can find the GCD of 857, 629, 31, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.