GCD of 705, 217, 165, 494 Calculator

Given Input numbers are 705, 217, 165, 494

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 705, 217, 165, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 217, 165, 494 is 1.

Therefore, GCD of numbers 705, 217, 165, 494 is 1

Given Input Data is 705, 217, 165, 494

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 217 is 7 x 31

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 494 is 2 x 13 x 19

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, 217) = 152985

GCD(705, 217) = ( 705 x 217 ) / 152985

GCD(705, 217) = 152985 / 152985

GCD(705, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 705, 217, 165, 494 is 1

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1. What is the GCD of 705, 217, 165, 494?

GCD of 705, 217, 165, 494 is 1

2. Where do I get the detailed procedure to find GCD of 705, 217, 165, 494?

You can find a detailed procedure to find GCD of 705, 217, 165, 494 on our page.

3. How to find GCD of 705, 217, 165, 494 on a calculator?

You can find the GCD of 705, 217, 165, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.