GCD of 978, 682, 55, 648 Calculator

Given Input numbers are 978, 682, 55, 648

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 978, 682, 55, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 682, 55, 648 is 1.

Therefore, GCD of numbers 978, 682, 55, 648 is 1

Given Input Data is 978, 682, 55, 648

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 682 is 2 x 11 x 31

Prime Factorization of 55 is 5 x 11

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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, 682) = 333498

GCD(978, 682) = ( 978 x 682 ) / 333498

GCD(978, 682) = 666996 / 333498

GCD(978, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 978, 682, 55, 648 is 1

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1. What is the GCD of 978, 682, 55, 648?

GCD of 978, 682, 55, 648 is 1

2. Where do I get the detailed procedure to find GCD of 978, 682, 55, 648?

You can find a detailed procedure to find GCD of 978, 682, 55, 648 on our page.

3. How to find GCD of 978, 682, 55, 648 on a calculator?

You can find the GCD of 978, 682, 55, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.