GCD of 109, 146, 273, 676 Calculator

Given Input numbers are 109, 146, 273, 676

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 109, 146, 273, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 146, 273, 676 is 1.

Therefore, GCD of numbers 109, 146, 273, 676 is 1

Given Input Data is 109, 146, 273, 676

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

Prime Factorization of 109 is 109

Prime Factorization of 146 is 2 x 73

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(109, 146) = 15914

GCD(109, 146) = ( 109 x 146 ) / 15914

GCD(109, 146) = 15914 / 15914

GCD(109, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 109, 146, 273, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 577, 486, 462
• GCD of 673, 546, 401, 617
• GCD of 975, 426, 908, 801
• GCD of 319, 537, 514, 510
• GCD of 772, 718, 605, 796

1. What is the GCD of 109, 146, 273, 676?

GCD of 109, 146, 273, 676 is 1

2. Where do I get the detailed procedure to find GCD of 109, 146, 273, 676?

You can find a detailed procedure to find GCD of 109, 146, 273, 676 on our page.

3. How to find GCD of 109, 146, 273, 676 on a calculator?

You can find the GCD of 109, 146, 273, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.