GCD of 380, 863, 189, 734 Calculator

Given Input numbers are 380, 863, 189, 734

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 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 380, 863, 189, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 863, 189, 734 is 1.

Therefore, GCD of numbers 380, 863, 189, 734 is 1

Given Input Data is 380, 863, 189, 734

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 863 is 863

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 734 is 2 x 367

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, 863) = 327940

GCD(380, 863) = ( 380 x 863 ) / 327940

GCD(380, 863) = 327940 / 327940

GCD(380, 863) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 380, 863, 189, 734 is 1

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1. What is the GCD of 380, 863, 189, 734?

GCD of 380, 863, 189, 734 is 1

2. Where do I get the detailed procedure to find GCD of 380, 863, 189, 734?

You can find a detailed procedure to find GCD of 380, 863, 189, 734 on our page.

3. How to find GCD of 380, 863, 189, 734 on a calculator?

You can find the GCD of 380, 863, 189, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.