GCD of 978, 498, 44, 653 Calculator

Given Input numbers are 978, 498, 44, 653

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

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 978, 498, 44, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 498, 44, 653 is 1.

Therefore, GCD of numbers 978, 498, 44, 653 is 1

Given Input Data is 978, 498, 44, 653

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 653 is 653

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(978, 498) = 81174

GCD(978, 498) = ( 978 x 498 ) / 81174

GCD(978, 498) = 487044 / 81174

GCD(978, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 44

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

LCM(6, 44) = 132

GCD(6, 44) = ( 6 x 44 ) / 132

GCD(6, 44) = 264 / 132

GCD(6, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

GCD of 978, 498, 44, 653 is 1

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1. What is the GCD of 978, 498, 44, 653?

GCD of 978, 498, 44, 653 is 1

2. Where do I get the detailed procedure to find GCD of 978, 498, 44, 653?

You can find a detailed procedure to find GCD of 978, 498, 44, 653 on our page.

3. How to find GCD of 978, 498, 44, 653 on a calculator?

You can find the GCD of 978, 498, 44, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.