GCD of 100, 114, 275, 423 Calculator

Given Input numbers are 100, 114, 275, 423

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 100, 114, 275, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 114, 275, 423 is 1.

Therefore, GCD of numbers 100, 114, 275, 423 is 1

Given Input Data is 100, 114, 275, 423

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 114 is 2 x 3 x 19

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 423 is 3 x 3 x 47

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, 114) = 5700

GCD(100, 114) = ( 100 x 114 ) / 5700

GCD(100, 114) = 11400 / 5700

GCD(100, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 100, 114, 275, 423 is 1

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1. What is the GCD of 100, 114, 275, 423?

GCD of 100, 114, 275, 423 is 1

2. Where do I get the detailed procedure to find GCD of 100, 114, 275, 423?

You can find a detailed procedure to find GCD of 100, 114, 275, 423 on our page.

3. How to find GCD of 100, 114, 275, 423 on a calculator?

You can find the GCD of 100, 114, 275, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.