GCD of 136, 486, 978 Calculator

Given Input numbers are 136, 486, 978

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 136, 486, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 486, 978 is 2.

Therefore, GCD of numbers 136, 486, 978 is 2

Given Input Data is 136, 486, 978

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 978 is 2 x 3 x 163

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(136, 486) = 33048

GCD(136, 486) = ( 136 x 486 ) / 33048

GCD(136, 486) = 66096 / 33048

GCD(136, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

GCD of 136, 486, 978 is 2

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1. What is the GCD of 136, 486, 978?

GCD of 136, 486, 978 is 2

2. Where do I get the detailed procedure to find GCD of 136, 486, 978?

You can find a detailed procedure to find GCD of 136, 486, 978 on our page.

3. How to find GCD of 136, 486, 978 on a calculator?

You can find the GCD of 136, 486, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.