GCD of 978, 332, 85, 744 Calculator

Given Input numbers are 978, 332, 85, 744

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 978, 332, 85, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 332, 85, 744 is 1.

Therefore, GCD of numbers 978, 332, 85, 744 is 1

Given Input Data is 978, 332, 85, 744

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 332 is 2 x 2 x 83

Prime Factorization of 85 is 5 x 17

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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, 332) = 162348

GCD(978, 332) = ( 978 x 332 ) / 162348

GCD(978, 332) = 324696 / 162348

GCD(978, 332) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 978, 332, 85, 744 is 1

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1. What is the GCD of 978, 332, 85, 744?

GCD of 978, 332, 85, 744 is 1

2. Where do I get the detailed procedure to find GCD of 978, 332, 85, 744?

You can find a detailed procedure to find GCD of 978, 332, 85, 744 on our page.

3. How to find GCD of 978, 332, 85, 744 on a calculator?

You can find the GCD of 978, 332, 85, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.