GCD of 488, 309, 86, 196 Calculator

Given Input numbers are 488, 309, 86, 196

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

Divisors of 488

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

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 488, 309, 86, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 309, 86, 196 is 1.

Therefore, GCD of numbers 488, 309, 86, 196 is 1

Given Input Data is 488, 309, 86, 196

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

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 86 is 2 x 43

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(488, 309) = 150792

GCD(488, 309) = ( 488 x 309 ) / 150792

GCD(488, 309) = 150792 / 150792

GCD(488, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 488, 309, 86, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 142, 61, 588
• GCD of 436, 750, 15, 735
• GCD of 253, 487, 92, 402
• GCD of 310, 790, 10, 336
• GCD of 408, 797, 28, 926

1. What is the GCD of 488, 309, 86, 196?

GCD of 488, 309, 86, 196 is 1

2. Where do I get the detailed procedure to find GCD of 488, 309, 86, 196?

You can find a detailed procedure to find GCD of 488, 309, 86, 196 on our page.

3. How to find GCD of 488, 309, 86, 196 on a calculator?

You can find the GCD of 488, 309, 86, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.