GCD of 722, 831, 100, 171 Calculator

Given Input numbers are 722, 831, 100, 171

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 722, 831, 100, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 831, 100, 171 is 1.

Therefore, GCD of numbers 722, 831, 100, 171 is 1

Given Input Data is 722, 831, 100, 171

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 831 is 3 x 277

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 171 is 3 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(722, 831) = 599982

GCD(722, 831) = ( 722 x 831 ) / 599982

GCD(722, 831) = 599982 / 599982

GCD(722, 831) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 722, 831, 100, 171 is 1

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1. What is the GCD of 722, 831, 100, 171?

GCD of 722, 831, 100, 171 is 1

2. Where do I get the detailed procedure to find GCD of 722, 831, 100, 171?

You can find a detailed procedure to find GCD of 722, 831, 100, 171 on our page.

3. How to find GCD of 722, 831, 100, 171 on a calculator?

You can find the GCD of 722, 831, 100, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.