GCD of 835, 142, 209, 416 Calculator

Given Input numbers are 835, 142, 209, 416

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

Divisors of 835

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

1, 5, 167, 835

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 835, 142, 209, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 142, 209, 416 is 1.

Therefore, GCD of numbers 835, 142, 209, 416 is 1

Given Input Data is 835, 142, 209, 416

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

Prime Factorization of 835 is 5 x 167

Prime Factorization of 142 is 2 x 71

Prime Factorization of 209 is 11 x 19

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(835, 142) = 118570

GCD(835, 142) = ( 835 x 142 ) / 118570

GCD(835, 142) = 118570 / 118570

GCD(835, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 835, 142, 209, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 565, 761, 433
• GCD of 561, 543, 401, 301
• GCD of 929, 909, 252, 772
• GCD of 454, 896, 586, 459
• GCD of 478, 735, 607, 384

1. What is the GCD of 835, 142, 209, 416?

GCD of 835, 142, 209, 416 is 1

2. Where do I get the detailed procedure to find GCD of 835, 142, 209, 416?

You can find a detailed procedure to find GCD of 835, 142, 209, 416 on our page.

3. How to find GCD of 835, 142, 209, 416 on a calculator?

You can find the GCD of 835, 142, 209, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.