GCD of 978, 489, 770, 358 Calculator

Given Input numbers are 978, 489, 770, 358

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 978, 489, 770, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 489, 770, 358 is 1.

Therefore, GCD of numbers 978, 489, 770, 358 is 1

Given Input Data is 978, 489, 770, 358

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 489 is 3 x 163

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 358 is 2 x 179

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, 489) = 978

GCD(978, 489) = ( 978 x 489 ) / 978

GCD(978, 489) = 478242 / 978

GCD(978, 489) = 489

Step2:

Here we consider the GCD from the above i.e. 489 as first number and the next as 770

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

LCM(489, 770) = 376530

GCD(489, 770) = ( 489 x 770 ) / 376530

GCD(489, 770) = 376530 / 376530

GCD(489, 770) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 978, 489, 770, 358 is 1

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1. What is the GCD of 978, 489, 770, 358?

GCD of 978, 489, 770, 358 is 1

2. Where do I get the detailed procedure to find GCD of 978, 489, 770, 358?

You can find a detailed procedure to find GCD of 978, 489, 770, 358 on our page.

3. How to find GCD of 978, 489, 770, 358 on a calculator?

You can find the GCD of 978, 489, 770, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.