GCD of 97, 519, 320, 978 Calculator

Given Input numbers are 97, 519, 320, 978

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 97, 519, 320, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 519, 320, 978 is 1.

Therefore, GCD of numbers 97, 519, 320, 978 is 1

Given Input Data is 97, 519, 320, 978

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

Prime Factorization of 97 is 97

Prime Factorization of 519 is 3 x 173

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 978 is 2 x 3 x 163

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(97, 519) = 50343

GCD(97, 519) = ( 97 x 519 ) / 50343

GCD(97, 519) = 50343 / 50343

GCD(97, 519) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 97, 519, 320, 978 is 1

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• GCD of 91, 723, 811, 841
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• GCD of 73, 690, 568, 789

1. What is the GCD of 97, 519, 320, 978?

GCD of 97, 519, 320, 978 is 1

2. Where do I get the detailed procedure to find GCD of 97, 519, 320, 978?

You can find a detailed procedure to find GCD of 97, 519, 320, 978 on our page.

3. How to find GCD of 97, 519, 320, 978 on a calculator?

You can find the GCD of 97, 519, 320, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.