GCD of 705, 643, 105, 299 Calculator

Given Input numbers are 705, 643, 105, 299

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

Divisors of 705

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

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 705, 643, 105, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 643, 105, 299 is 1.

Therefore, GCD of numbers 705, 643, 105, 299 is 1

Given Input Data is 705, 643, 105, 299

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 643 is 643

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 299 is 13 x 23

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(705, 643) = 453315

GCD(705, 643) = ( 705 x 643 ) / 453315

GCD(705, 643) = 453315 / 453315

GCD(705, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 705, 643, 105, 299 is 1

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1. What is the GCD of 705, 643, 105, 299?

GCD of 705, 643, 105, 299 is 1

2. Where do I get the detailed procedure to find GCD of 705, 643, 105, 299?

You can find a detailed procedure to find GCD of 705, 643, 105, 299 on our page.

3. How to find GCD of 705, 643, 105, 299 on a calculator?

You can find the GCD of 705, 643, 105, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.