GCD of 380, 967, 603, 305 Calculator

Given Input numbers are 380, 967, 603, 305

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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 380, 967, 603, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 967, 603, 305 is 1.

Therefore, GCD of numbers 380, 967, 603, 305 is 1

Given Input Data is 380, 967, 603, 305

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 967 is 967

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 305 is 5 x 61

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, 967) = 367460

GCD(380, 967) = ( 380 x 967 ) / 367460

GCD(380, 967) = 367460 / 367460

GCD(380, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 380, 967, 603, 305 is 1

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1. What is the GCD of 380, 967, 603, 305?

GCD of 380, 967, 603, 305 is 1

2. Where do I get the detailed procedure to find GCD of 380, 967, 603, 305?

You can find a detailed procedure to find GCD of 380, 967, 603, 305 on our page.

3. How to find GCD of 380, 967, 603, 305 on a calculator?

You can find the GCD of 380, 967, 603, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.