GCD of 686, 626, 105, 380 Calculator

Given Input numbers are 686, 626, 105, 380

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 626

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

1, 2, 313, 626

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 686, 626, 105, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 626, 105, 380 is 1.

Therefore, GCD of numbers 686, 626, 105, 380 is 1

Given Input Data is 686, 626, 105, 380

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 626 is 2 x 313

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(686, 626) = 214718

GCD(686, 626) = ( 686 x 626 ) / 214718

GCD(686, 626) = 429436 / 214718

GCD(686, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 686, 626, 105, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 714, 646, 224
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• GCD of 974, 359, 995, 462

1. What is the GCD of 686, 626, 105, 380?

GCD of 686, 626, 105, 380 is 1

2. Where do I get the detailed procedure to find GCD of 686, 626, 105, 380?

You can find a detailed procedure to find GCD of 686, 626, 105, 380 on our page.

3. How to find GCD of 686, 626, 105, 380 on a calculator?

You can find the GCD of 686, 626, 105, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.