GCD of 100, 731, 84 Calculator

Given Input numbers are 100, 731, 84

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

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 100, 731, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 731, 84 is 1.

Therefore, GCD of numbers 100, 731, 84 is 1

Given Input Data is 100, 731, 84

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

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(100, 731) = 73100

GCD(100, 731) = ( 100 x 731 ) / 73100

GCD(100, 731) = 73100 / 73100

GCD(100, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 100, 731, 84 is 1

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1. What is the GCD of 100, 731, 84?

GCD of 100, 731, 84 is 1

2. Where do I get the detailed procedure to find GCD of 100, 731, 84?

You can find a detailed procedure to find GCD of 100, 731, 84 on our page.

3. How to find GCD of 100, 731, 84 on a calculator?

You can find the GCD of 100, 731, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.