GCD of 157, 725, 22, 228 Calculator

Given Input numbers are 157, 725, 22, 228

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 157, 725, 22, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 725, 22, 228 is 1.

Therefore, GCD of numbers 157, 725, 22, 228 is 1

Given Input Data is 157, 725, 22, 228

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

Prime Factorization of 157 is 157

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 22 is 2 x 11

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(157, 725) = 113825

GCD(157, 725) = ( 157 x 725 ) / 113825

GCD(157, 725) = 113825 / 113825

GCD(157, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 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 157, 725, 22, 228 is 1

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1. What is the GCD of 157, 725, 22, 228?

GCD of 157, 725, 22, 228 is 1

2. Where do I get the detailed procedure to find GCD of 157, 725, 22, 228?

You can find a detailed procedure to find GCD of 157, 725, 22, 228 on our page.

3. How to find GCD of 157, 725, 22, 228 on a calculator?

You can find the GCD of 157, 725, 22, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.