GCD of 380, 986, 829, 653 Calculator

Given Input numbers are 380, 986, 829, 653

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

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 380, 986, 829, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 986, 829, 653 is 1.

Therefore, GCD of numbers 380, 986, 829, 653 is 1

Given Input Data is 380, 986, 829, 653

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

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 829 is 829

Prime Factorization of 653 is 653

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(380, 986) = 187340

GCD(380, 986) = ( 380 x 986 ) / 187340

GCD(380, 986) = 374680 / 187340

GCD(380, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 380, 986, 829, 653 is 1

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• GCD of 478, 840, 896, 794
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1. What is the GCD of 380, 986, 829, 653?

GCD of 380, 986, 829, 653 is 1

2. Where do I get the detailed procedure to find GCD of 380, 986, 829, 653?

You can find a detailed procedure to find GCD of 380, 986, 829, 653 on our page.

3. How to find GCD of 380, 986, 829, 653 on a calculator?

You can find the GCD of 380, 986, 829, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.