GCD of 777, 133, 14, 709 Calculator

Given Input numbers are 777, 133, 14, 709

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 709

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

1, 709

Greatest Common Divisior

We found the divisors of 777, 133, 14, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 133, 14, 709 is 1.

Therefore, GCD of numbers 777, 133, 14, 709 is 1

Given Input Data is 777, 133, 14, 709

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 133 is 7 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 709 is 709

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(777, 133) = 14763

GCD(777, 133) = ( 777 x 133 ) / 14763

GCD(777, 133) = 103341 / 14763

GCD(777, 133) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 14

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

LCM(7, 14) = 14

GCD(7, 14) = ( 7 x 14 ) / 14

GCD(7, 14) = 98 / 14

GCD(7, 14) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 709

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

LCM(7, 709) = 4963

GCD(7, 709) = ( 7 x 709 ) / 4963

GCD(7, 709) = 4963 / 4963

GCD(7, 709) = 1

GCD of 777, 133, 14, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 291, 33, 710
• GCD of 850, 297, 36, 409
• GCD of 504, 181, 13, 401
• GCD of 220, 234, 64, 599
• GCD of 767, 251, 73, 104

1. What is the GCD of 777, 133, 14, 709?

GCD of 777, 133, 14, 709 is 1

2. Where do I get the detailed procedure to find GCD of 777, 133, 14, 709?

You can find a detailed procedure to find GCD of 777, 133, 14, 709 on our page.

3. How to find GCD of 777, 133, 14, 709 on a calculator?

You can find the GCD of 777, 133, 14, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.