GCD of 260, 706, 15, 773 Calculator

Given Input numbers are 260, 706, 15, 773

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

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 706

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

1, 2, 353, 706

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 260, 706, 15, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 706, 15, 773 is 1.

Therefore, GCD of numbers 260, 706, 15, 773 is 1

Given Input Data is 260, 706, 15, 773

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

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 15 is 3 x 5

Prime Factorization of 773 is 773

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(260, 706) = 91780

GCD(260, 706) = ( 260 x 706 ) / 91780

GCD(260, 706) = 183560 / 91780

GCD(260, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

GCD of 260, 706, 15, 773 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 970, 45, 714
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1. What is the GCD of 260, 706, 15, 773?

GCD of 260, 706, 15, 773 is 1

2. Where do I get the detailed procedure to find GCD of 260, 706, 15, 773?

You can find a detailed procedure to find GCD of 260, 706, 15, 773 on our page.

3. How to find GCD of 260, 706, 15, 773 on a calculator?

You can find the GCD of 260, 706, 15, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.