GCD of 228, 175, 45, 919 Calculator

Given Input numbers are 228, 175, 45, 919

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 228, 175, 45, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 175, 45, 919 is 1.

Therefore, GCD of numbers 228, 175, 45, 919 is 1

Given Input Data is 228, 175, 45, 919

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 175 is 5 x 5 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 919 is 919

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, 175) = 39900

GCD(228, 175) = ( 228 x 175 ) / 39900

GCD(228, 175) = 39900 / 39900

GCD(228, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 228, 175, 45, 919 is 1

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1. What is the GCD of 228, 175, 45, 919?

GCD of 228, 175, 45, 919 is 1

2. Where do I get the detailed procedure to find GCD of 228, 175, 45, 919?

You can find a detailed procedure to find GCD of 228, 175, 45, 919 on our page.

3. How to find GCD of 228, 175, 45, 919 on a calculator?

You can find the GCD of 228, 175, 45, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.