GCD of 978, 351, 622, 775 Calculator

Given Input numbers are 978, 351, 622, 775

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 978, 351, 622, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 351, 622, 775 is 1.

Therefore, GCD of numbers 978, 351, 622, 775 is 1

Given Input Data is 978, 351, 622, 775

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 622 is 2 x 311

Prime Factorization of 775 is 5 x 5 x 31

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, 351) = 114426

GCD(978, 351) = ( 978 x 351 ) / 114426

GCD(978, 351) = 343278 / 114426

GCD(978, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 622

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

LCM(3, 622) = 1866

GCD(3, 622) = ( 3 x 622 ) / 1866

GCD(3, 622) = 1866 / 1866

GCD(3, 622) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 978, 351, 622, 775 is 1

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1. What is the GCD of 978, 351, 622, 775?

GCD of 978, 351, 622, 775 is 1

2. Where do I get the detailed procedure to find GCD of 978, 351, 622, 775?

You can find a detailed procedure to find GCD of 978, 351, 622, 775 on our page.

3. How to find GCD of 978, 351, 622, 775 on a calculator?

You can find the GCD of 978, 351, 622, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.