GCD of 709, 205, 80, 488 Calculator

Given Input numbers are 709, 205, 80, 488

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 709, 205, 80, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 205, 80, 488 is 1.

Therefore, GCD of numbers 709, 205, 80, 488 is 1

Given Input Data is 709, 205, 80, 488

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

Prime Factorization of 709 is 709

Prime Factorization of 205 is 5 x 41

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 488 is 2 x 2 x 2 x 61

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, 205) = 145345

GCD(709, 205) = ( 709 x 205 ) / 145345

GCD(709, 205) = 145345 / 145345

GCD(709, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 709, 205, 80, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 117, 61, 151
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• GCD of 976, 447, 95, 278
• GCD of 430, 734, 21, 169
• GCD of 336, 917, 31, 681

1. What is the GCD of 709, 205, 80, 488?

GCD of 709, 205, 80, 488 is 1

2. Where do I get the detailed procedure to find GCD of 709, 205, 80, 488?

You can find a detailed procedure to find GCD of 709, 205, 80, 488 on our page.

3. How to find GCD of 709, 205, 80, 488 on a calculator?

You can find the GCD of 709, 205, 80, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.