GCD of 575, 364, 597, 978 Calculator

Given Input numbers are 575, 364, 597, 978

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

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 575, 364, 597, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 364, 597, 978 is 1.

Therefore, GCD of numbers 575, 364, 597, 978 is 1

Given Input Data is 575, 364, 597, 978

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 597 is 3 x 199

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(575, 364) = 209300

GCD(575, 364) = ( 575 x 364 ) / 209300

GCD(575, 364) = 209300 / 209300

GCD(575, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 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 575, 364, 597, 978 is 1

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1. What is the GCD of 575, 364, 597, 978?

GCD of 575, 364, 597, 978 is 1

2. Where do I get the detailed procedure to find GCD of 575, 364, 597, 978?

You can find a detailed procedure to find GCD of 575, 364, 597, 978 on our page.

3. How to find GCD of 575, 364, 597, 978 on a calculator?

You can find the GCD of 575, 364, 597, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.