GCD of 366, 978, 15, 681 Calculator

Given Input numbers are 366, 978, 15, 681

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 366, 978, 15, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 978, 15, 681 is 3.

Therefore, GCD of numbers 366, 978, 15, 681 is 3

Given Input Data is 366, 978, 15, 681

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 15 is 3 x 5

Prime Factorization of 681 is 3 x 227

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(366, 978) = 59658

GCD(366, 978) = ( 366 x 978 ) / 59658

GCD(366, 978) = 357948 / 59658

GCD(366, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

GCD of 366, 978, 15, 681 is 3

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1. What is the GCD of 366, 978, 15, 681?

GCD of 366, 978, 15, 681 is 3

2. Where do I get the detailed procedure to find GCD of 366, 978, 15, 681?

You can find a detailed procedure to find GCD of 366, 978, 15, 681 on our page.

3. How to find GCD of 366, 978, 15, 681 on a calculator?

You can find the GCD of 366, 978, 15, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.