GCD of 199, 952, 914, 835 Calculator

Given Input numbers are 199, 952, 914, 835

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

Divisors of 199

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

1, 199

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 199, 952, 914, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 952, 914, 835 is 1.

Therefore, GCD of numbers 199, 952, 914, 835 is 1

Given Input Data is 199, 952, 914, 835

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

Prime Factorization of 199 is 199

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 914 is 2 x 457

Prime Factorization of 835 is 5 x 167

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(199, 952) = 189448

GCD(199, 952) = ( 199 x 952 ) / 189448

GCD(199, 952) = 189448 / 189448

GCD(199, 952) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 199, 952, 914, 835 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 305, 445, 357
• GCD of 647, 306, 662, 198
• GCD of 529, 760, 105, 915
• GCD of 852, 554, 705, 141
• GCD of 227, 972, 336, 582

1. What is the GCD of 199, 952, 914, 835?

GCD of 199, 952, 914, 835 is 1

2. Where do I get the detailed procedure to find GCD of 199, 952, 914, 835?

You can find a detailed procedure to find GCD of 199, 952, 914, 835 on our page.

3. How to find GCD of 199, 952, 914, 835 on a calculator?

You can find the GCD of 199, 952, 914, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.