GCD of 452, 978, 117 Calculator

Given Input numbers are 452, 978, 117

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 452, 978, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 978, 117 is 1.

Therefore, GCD of numbers 452, 978, 117 is 1

Given Input Data is 452, 978, 117

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 117 is 3 x 3 x 13

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(452, 978) = 221028

GCD(452, 978) = ( 452 x 978 ) / 221028

GCD(452, 978) = 442056 / 221028

GCD(452, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 452, 978, 117 is 1

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1. What is the GCD of 452, 978, 117?

GCD of 452, 978, 117 is 1

2. Where do I get the detailed procedure to find GCD of 452, 978, 117?

You can find a detailed procedure to find GCD of 452, 978, 117 on our page.

3. How to find GCD of 452, 978, 117 on a calculator?

You can find the GCD of 452, 978, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.