GCD of 497, 730, 705, 859 Calculator

Given Input numbers are 497, 730, 705, 859

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

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 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 497, 730, 705, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 730, 705, 859 is 1.

Therefore, GCD of numbers 497, 730, 705, 859 is 1

Given Input Data is 497, 730, 705, 859

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 859 is 859

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(497, 730) = 362810

GCD(497, 730) = ( 497 x 730 ) / 362810

GCD(497, 730) = 362810 / 362810

GCD(497, 730) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 497, 730, 705, 859 is 1

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1. What is the GCD of 497, 730, 705, 859?

GCD of 497, 730, 705, 859 is 1

2. Where do I get the detailed procedure to find GCD of 497, 730, 705, 859?

You can find a detailed procedure to find GCD of 497, 730, 705, 859 on our page.

3. How to find GCD of 497, 730, 705, 859 on a calculator?

You can find the GCD of 497, 730, 705, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.