GCD of 724, 389, 91, 380 Calculator

Given Input numbers are 724, 389, 91, 380

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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 724, 389, 91, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 389, 91, 380 is 1.

Therefore, GCD of numbers 724, 389, 91, 380 is 1

Given Input Data is 724, 389, 91, 380

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 389 is 389

Prime Factorization of 91 is 7 x 13

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(724, 389) = 281636

GCD(724, 389) = ( 724 x 389 ) / 281636

GCD(724, 389) = 281636 / 281636

GCD(724, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 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 724, 389, 91, 380 is 1

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1. What is the GCD of 724, 389, 91, 380?

GCD of 724, 389, 91, 380 is 1

2. Where do I get the detailed procedure to find GCD of 724, 389, 91, 380?

You can find a detailed procedure to find GCD of 724, 389, 91, 380 on our page.

3. How to find GCD of 724, 389, 91, 380 on a calculator?

You can find the GCD of 724, 389, 91, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.