GCD of 709, 993, 282, 705 Calculator

Given Input numbers are 709, 993, 282, 705

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 709, 993, 282, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 993, 282, 705 is 1.

Therefore, GCD of numbers 709, 993, 282, 705 is 1

Given Input Data is 709, 993, 282, 705

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

Prime Factorization of 709 is 709

Prime Factorization of 993 is 3 x 331

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 705 is 3 x 5 x 47

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(709, 993) = 704037

GCD(709, 993) = ( 709 x 993 ) / 704037

GCD(709, 993) = 704037 / 704037

GCD(709, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 709, 993, 282, 705 is 1

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1. What is the GCD of 709, 993, 282, 705?

GCD of 709, 993, 282, 705 is 1

2. Where do I get the detailed procedure to find GCD of 709, 993, 282, 705?

You can find a detailed procedure to find GCD of 709, 993, 282, 705 on our page.

3. How to find GCD of 709, 993, 282, 705 on a calculator?

You can find the GCD of 709, 993, 282, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.