GCD of 228, 268, 35, 855 Calculator

Given Input numbers are 228, 268, 35, 855

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 228, 268, 35, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 268, 35, 855 is 1.

Therefore, GCD of numbers 228, 268, 35, 855 is 1

Given Input Data is 228, 268, 35, 855

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 35 is 5 x 7

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(228, 268) = 15276

GCD(228, 268) = ( 228 x 268 ) / 15276

GCD(228, 268) = 61104 / 15276

GCD(228, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 35

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

LCM(4, 35) = 140

GCD(4, 35) = ( 4 x 35 ) / 140

GCD(4, 35) = 140 / 140

GCD(4, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 228, 268, 35, 855 is 1

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• GCD of 948, 735, 41, 683
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1. What is the GCD of 228, 268, 35, 855?

GCD of 228, 268, 35, 855 is 1

2. Where do I get the detailed procedure to find GCD of 228, 268, 35, 855?

You can find a detailed procedure to find GCD of 228, 268, 35, 855 on our page.

3. How to find GCD of 228, 268, 35, 855 on a calculator?

You can find the GCD of 228, 268, 35, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.