GCD of 805, 100, 749 Calculator

Given Input numbers are 805, 100, 749

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 805, 100, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 100, 749 is 1.

Therefore, GCD of numbers 805, 100, 749 is 1

Given Input Data is 805, 100, 749

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

Prime Factorization of 805 is 5 x 7 x 23

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

Prime Factorization of 749 is 7 x 107

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(805, 100) = 16100

GCD(805, 100) = ( 805 x 100 ) / 16100

GCD(805, 100) = 80500 / 16100

GCD(805, 100) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 749

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

LCM(5, 749) = 3745

GCD(5, 749) = ( 5 x 749 ) / 3745

GCD(5, 749) = 3745 / 3745

GCD(5, 749) = 1

GCD of 805, 100, 749 is 1

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1. What is the GCD of 805, 100, 749?

GCD of 805, 100, 749 is 1

2. Where do I get the detailed procedure to find GCD of 805, 100, 749?

You can find a detailed procedure to find GCD of 805, 100, 749 on our page.

3. How to find GCD of 805, 100, 749 on a calculator?

You can find the GCD of 805, 100, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.