GCD of 103, 346, 978, 330 Calculator

Given Input numbers are 103, 346, 978, 330

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 103, 346, 978, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 346, 978, 330 is 1.

Therefore, GCD of numbers 103, 346, 978, 330 is 1

Given Input Data is 103, 346, 978, 330

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

Prime Factorization of 103 is 103

Prime Factorization of 346 is 2 x 173

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(103, 346) = 35638

GCD(103, 346) = ( 103 x 346 ) / 35638

GCD(103, 346) = 35638 / 35638

GCD(103, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 103, 346, 978, 330 is 1

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1. What is the GCD of 103, 346, 978, 330?

GCD of 103, 346, 978, 330 is 1

2. Where do I get the detailed procedure to find GCD of 103, 346, 978, 330?

You can find a detailed procedure to find GCD of 103, 346, 978, 330 on our page.

3. How to find GCD of 103, 346, 978, 330 on a calculator?

You can find the GCD of 103, 346, 978, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.