GCD of 686, 978, 484, 788 Calculator

Given Input numbers are 686, 978, 484, 788

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 686, 978, 484, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 978, 484, 788 is 2.

Therefore, GCD of numbers 686, 978, 484, 788 is 2

Given Input Data is 686, 978, 484, 788

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 788 is 2 x 2 x 197

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(686, 978) = 335454

GCD(686, 978) = ( 686 x 978 ) / 335454

GCD(686, 978) = 670908 / 335454

GCD(686, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 686, 978, 484, 788 is 2

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1. What is the GCD of 686, 978, 484, 788?

GCD of 686, 978, 484, 788 is 2

2. Where do I get the detailed procedure to find GCD of 686, 978, 484, 788?

You can find a detailed procedure to find GCD of 686, 978, 484, 788 on our page.

3. How to find GCD of 686, 978, 484, 788 on a calculator?

You can find the GCD of 686, 978, 484, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.