GCD of 360, 709, 826 Calculator

Given Input numbers are 360, 709, 826

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 360, 709, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 709, 826 is 1.

Therefore, GCD of numbers 360, 709, 826 is 1

Given Input Data is 360, 709, 826

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 709 is 709

Prime Factorization of 826 is 2 x 7 x 59

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(360, 709) = 255240

GCD(360, 709) = ( 360 x 709 ) / 255240

GCD(360, 709) = 255240 / 255240

GCD(360, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 360, 709, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 351, 357
• GCD of 435, 315, 808
• GCD of 611, 409, 959
• GCD of 739, 118, 368
• GCD of 428, 755, 783

1. What is the GCD of 360, 709, 826?

GCD of 360, 709, 826 is 1

2. Where do I get the detailed procedure to find GCD of 360, 709, 826?

You can find a detailed procedure to find GCD of 360, 709, 826 on our page.

3. How to find GCD of 360, 709, 826 on a calculator?

You can find the GCD of 360, 709, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.