GCD of 365, 265, 626, 676 Calculator

Given Input numbers are 365, 265, 626, 676

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

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 365, 265, 626, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 265, 626, 676 is 1.

Therefore, GCD of numbers 365, 265, 626, 676 is 1

Given Input Data is 365, 265, 626, 676

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 265 is 5 x 53

Prime Factorization of 626 is 2 x 313

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(365, 265) = 19345

GCD(365, 265) = ( 365 x 265 ) / 19345

GCD(365, 265) = 96725 / 19345

GCD(365, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 626

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

LCM(5, 626) = 3130

GCD(5, 626) = ( 5 x 626 ) / 3130

GCD(5, 626) = 3130 / 3130

GCD(5, 626) = 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 365, 265, 626, 676 is 1

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1. What is the GCD of 365, 265, 626, 676?

GCD of 365, 265, 626, 676 is 1

2. Where do I get the detailed procedure to find GCD of 365, 265, 626, 676?

You can find a detailed procedure to find GCD of 365, 265, 626, 676 on our page.

3. How to find GCD of 365, 265, 626, 676 on a calculator?

You can find the GCD of 365, 265, 626, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.