GCD of 345, 542, 978, 598 Calculator

Given Input numbers are 345, 542, 978, 598

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 345, 542, 978, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 542, 978, 598 is 1.

Therefore, GCD of numbers 345, 542, 978, 598 is 1

Given Input Data is 345, 542, 978, 598

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 542 is 2 x 271

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 598 is 2 x 13 x 23

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(345, 542) = 186990

GCD(345, 542) = ( 345 x 542 ) / 186990

GCD(345, 542) = 186990 / 186990

GCD(345, 542) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 345, 542, 978, 598 is 1

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1. What is the GCD of 345, 542, 978, 598?

GCD of 345, 542, 978, 598 is 1

2. Where do I get the detailed procedure to find GCD of 345, 542, 978, 598?

You can find a detailed procedure to find GCD of 345, 542, 978, 598 on our page.

3. How to find GCD of 345, 542, 978, 598 on a calculator?

You can find the GCD of 345, 542, 978, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.