GCD of 675, 380, 38, 686 Calculator

Given Input numbers are 675, 380, 38, 686

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 675, 380, 38, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 380, 38, 686 is 1.

Therefore, GCD of numbers 675, 380, 38, 686 is 1

Given Input Data is 675, 380, 38, 686

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 686 is 2 x 7 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(675, 380) = 51300

GCD(675, 380) = ( 675 x 380 ) / 51300

GCD(675, 380) = 256500 / 51300

GCD(675, 380) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 38

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

LCM(5, 38) = 190

GCD(5, 38) = ( 5 x 38 ) / 190

GCD(5, 38) = 190 / 190

GCD(5, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 675, 380, 38, 686 is 1

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• GCD of 665, 413, 39, 849
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1. What is the GCD of 675, 380, 38, 686?

GCD of 675, 380, 38, 686 is 1

2. Where do I get the detailed procedure to find GCD of 675, 380, 38, 686?

You can find a detailed procedure to find GCD of 675, 380, 38, 686 on our page.

3. How to find GCD of 675, 380, 38, 686 on a calculator?

You can find the GCD of 675, 380, 38, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.