GCD of 709, 266, 407, 129 Calculator

Given Input numbers are 709, 266, 407, 129

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

Divisors of 709

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

1, 709

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 709, 266, 407, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 266, 407, 129 is 1.

Therefore, GCD of numbers 709, 266, 407, 129 is 1

Given Input Data is 709, 266, 407, 129

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

Prime Factorization of 709 is 709

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 407 is 11 x 37

Prime Factorization of 129 is 3 x 43

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(709, 266) = 188594

GCD(709, 266) = ( 709 x 266 ) / 188594

GCD(709, 266) = 188594 / 188594

GCD(709, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 709, 266, 407, 129 is 1

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1. What is the GCD of 709, 266, 407, 129?

GCD of 709, 266, 407, 129 is 1

2. Where do I get the detailed procedure to find GCD of 709, 266, 407, 129?

You can find a detailed procedure to find GCD of 709, 266, 407, 129 on our page.

3. How to find GCD of 709, 266, 407, 129 on a calculator?

You can find the GCD of 709, 266, 407, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.