GCD of 978, 998, 149 Calculator

Given Input numbers are 978, 998, 149

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 978, 998, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 998, 149 is 1.

Therefore, GCD of numbers 978, 998, 149 is 1

Given Input Data is 978, 998, 149

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 998 is 2 x 499

Prime Factorization of 149 is 149

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, 998) = 488022

GCD(978, 998) = ( 978 x 998 ) / 488022

GCD(978, 998) = 976044 / 488022

GCD(978, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

GCD of 978, 998, 149 is 1

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1. What is the GCD of 978, 998, 149?

GCD of 978, 998, 149 is 1

2. Where do I get the detailed procedure to find GCD of 978, 998, 149?

You can find a detailed procedure to find GCD of 978, 998, 149 on our page.

3. How to find GCD of 978, 998, 149 on a calculator?

You can find the GCD of 978, 998, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.