GCD of 143, 225, 41, 722 Calculator

Given Input numbers are 143, 225, 41, 722

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 143, 225, 41, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 225, 41, 722 is 1.

Therefore, GCD of numbers 143, 225, 41, 722 is 1

Given Input Data is 143, 225, 41, 722

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 41 is 41

Prime Factorization of 722 is 2 x 19 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(143, 225) = 32175

GCD(143, 225) = ( 143 x 225 ) / 32175

GCD(143, 225) = 32175 / 32175

GCD(143, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 143, 225, 41, 722 is 1

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1. What is the GCD of 143, 225, 41, 722?

GCD of 143, 225, 41, 722 is 1

2. Where do I get the detailed procedure to find GCD of 143, 225, 41, 722?

You can find a detailed procedure to find GCD of 143, 225, 41, 722 on our page.

3. How to find GCD of 143, 225, 41, 722 on a calculator?

You can find the GCD of 143, 225, 41, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.