GCD of 362, 186, 978 Calculator

Given Input numbers are 362, 186, 978

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

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 362, 186, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 186, 978 is 2.

Therefore, GCD of numbers 362, 186, 978 is 2

Given Input Data is 362, 186, 978

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 186 is 2 x 3 x 31

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(362, 186) = 33666

GCD(362, 186) = ( 362 x 186 ) / 33666

GCD(362, 186) = 67332 / 33666

GCD(362, 186) = 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 362, 186, 978 is 2

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1. What is the GCD of 362, 186, 978?

GCD of 362, 186, 978 is 2

2. Where do I get the detailed procedure to find GCD of 362, 186, 978?

You can find a detailed procedure to find GCD of 362, 186, 978 on our page.

3. How to find GCD of 362, 186, 978 on a calculator?

You can find the GCD of 362, 186, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.