GCD of 175, 433, 216, 722 Calculator

Given Input numbers are 175, 433, 216, 722

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

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 175, 433, 216, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 433, 216, 722 is 1.

Therefore, GCD of numbers 175, 433, 216, 722 is 1

Given Input Data is 175, 433, 216, 722

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 433 is 433

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(175, 433) = 75775

GCD(175, 433) = ( 175 x 433 ) / 75775

GCD(175, 433) = 75775 / 75775

GCD(175, 433) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 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 175, 433, 216, 722 is 1

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1. What is the GCD of 175, 433, 216, 722?

GCD of 175, 433, 216, 722 is 1

2. Where do I get the detailed procedure to find GCD of 175, 433, 216, 722?

You can find a detailed procedure to find GCD of 175, 433, 216, 722 on our page.

3. How to find GCD of 175, 433, 216, 722 on a calculator?

You can find the GCD of 175, 433, 216, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.