GCD of 909, 470, 978 Calculator

Given Input numbers are 909, 470, 978

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 909, 470, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 470, 978 is 1.

Therefore, GCD of numbers 909, 470, 978 is 1

Given Input Data is 909, 470, 978

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 978 is 2 x 3 x 163

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(909, 470) = 427230

GCD(909, 470) = ( 909 x 470 ) / 427230

GCD(909, 470) = 427230 / 427230

GCD(909, 470) = 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

GCD of 909, 470, 978 is 1

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1. What is the GCD of 909, 470, 978?

GCD of 909, 470, 978 is 1

2. Where do I get the detailed procedure to find GCD of 909, 470, 978?

You can find a detailed procedure to find GCD of 909, 470, 978 on our page.

3. How to find GCD of 909, 470, 978 on a calculator?

You can find the GCD of 909, 470, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.