GCD of 854, 132, 835, 203 Calculator

Given Input numbers are 854, 132, 835, 203

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 835

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

1, 5, 167, 835

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 854, 132, 835, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 132, 835, 203 is 1.

Therefore, GCD of numbers 854, 132, 835, 203 is 1

Given Input Data is 854, 132, 835, 203

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 835 is 5 x 167

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(854, 132) = 56364

GCD(854, 132) = ( 854 x 132 ) / 56364

GCD(854, 132) = 112728 / 56364

GCD(854, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 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 854, 132, 835, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 553, 569, 320
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• GCD of 432, 850, 233, 149
• GCD of 218, 239, 293, 509

1. What is the GCD of 854, 132, 835, 203?

GCD of 854, 132, 835, 203 is 1

2. Where do I get the detailed procedure to find GCD of 854, 132, 835, 203?

You can find a detailed procedure to find GCD of 854, 132, 835, 203 on our page.

3. How to find GCD of 854, 132, 835, 203 on a calculator?

You can find the GCD of 854, 132, 835, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.