GCD of 284, 758, 653 Calculator

Given Input numbers are 284, 758, 653

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 284, 758, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 758, 653 is 1.

Therefore, GCD of numbers 284, 758, 653 is 1

Given Input Data is 284, 758, 653

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 758 is 2 x 379

Prime Factorization of 653 is 653

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(284, 758) = 107636

GCD(284, 758) = ( 284 x 758 ) / 107636

GCD(284, 758) = 215272 / 107636

GCD(284, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

GCD of 284, 758, 653 is 1

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1. What is the GCD of 284, 758, 653?

GCD of 284, 758, 653 is 1

2. Where do I get the detailed procedure to find GCD of 284, 758, 653?

You can find a detailed procedure to find GCD of 284, 758, 653 on our page.

3. How to find GCD of 284, 758, 653 on a calculator?

You can find the GCD of 284, 758, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.