GCD of 285, 752, 100 Calculator

Given Input numbers are 285, 752, 100

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

Greatest Common Divisior

We found the divisors of 285, 752, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 752, 100 is 1.

Therefore, GCD of numbers 285, 752, 100 is 1

Given Input Data is 285, 752, 100

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

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(285, 752) = 214320

GCD(285, 752) = ( 285 x 752 ) / 214320

GCD(285, 752) = 214320 / 214320

GCD(285, 752) = 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

GCD of 285, 752, 100 is 1

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• GCD of 226, 318, 716
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1. What is the GCD of 285, 752, 100?

GCD of 285, 752, 100 is 1

2. Where do I get the detailed procedure to find GCD of 285, 752, 100?

You can find a detailed procedure to find GCD of 285, 752, 100 on our page.

3. How to find GCD of 285, 752, 100 on a calculator?

You can find the GCD of 285, 752, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.