GCD of 100, 838, 857, 228 Calculator

Given Input numbers are 100, 838, 857, 228

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 857

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

1, 857

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

Greatest Common Divisior

We found the divisors of 100, 838, 857, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 838, 857, 228 is 1.

Therefore, GCD of numbers 100, 838, 857, 228 is 1

Given Input Data is 100, 838, 857, 228

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 838 is 2 x 419

Prime Factorization of 857 is 857

Prime Factorization of 228 is 2 x 2 x 3 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(100, 838) = 41900

GCD(100, 838) = ( 100 x 838 ) / 41900

GCD(100, 838) = 83800 / 41900

GCD(100, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 857

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

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

GCD(2, 857) = 1714 / 1714

GCD(2, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 100, 838, 857, 228 is 1

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1. What is the GCD of 100, 838, 857, 228?

GCD of 100, 838, 857, 228 is 1

2. Where do I get the detailed procedure to find GCD of 100, 838, 857, 228?

You can find a detailed procedure to find GCD of 100, 838, 857, 228 on our page.

3. How to find GCD of 100, 838, 857, 228 on a calculator?

You can find the GCD of 100, 838, 857, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.