GCD of 785, 260, 66, 706 Calculator

Given Input numbers are 785, 260, 66, 706

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 785, 260, 66, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 260, 66, 706 is 1.

Therefore, GCD of numbers 785, 260, 66, 706 is 1

Given Input Data is 785, 260, 66, 706

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 706 is 2 x 353

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(785, 260) = 40820

GCD(785, 260) = ( 785 x 260 ) / 40820

GCD(785, 260) = 204100 / 40820

GCD(785, 260) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 66

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

LCM(5, 66) = 330

GCD(5, 66) = ( 5 x 66 ) / 330

GCD(5, 66) = 330 / 330

GCD(5, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 785, 260, 66, 706 is 1

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1. What is the GCD of 785, 260, 66, 706?

GCD of 785, 260, 66, 706 is 1

2. Where do I get the detailed procedure to find GCD of 785, 260, 66, 706?

You can find a detailed procedure to find GCD of 785, 260, 66, 706 on our page.

3. How to find GCD of 785, 260, 66, 706 on a calculator?

You can find the GCD of 785, 260, 66, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.