GCD of 223, 978, 42, 283 Calculator

Given Input numbers are 223, 978, 42, 283

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

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 223, 978, 42, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 978, 42, 283 is 1.

Therefore, GCD of numbers 223, 978, 42, 283 is 1

Given Input Data is 223, 978, 42, 283

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

Prime Factorization of 223 is 223

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 283 is 283

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(223, 978) = 218094

GCD(223, 978) = ( 223 x 978 ) / 218094

GCD(223, 978) = 218094 / 218094

GCD(223, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 283

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

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

GCD(1, 283) = 283 / 283

GCD(1, 283) = 1

GCD of 223, 978, 42, 283 is 1

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1. What is the GCD of 223, 978, 42, 283?

GCD of 223, 978, 42, 283 is 1

2. Where do I get the detailed procedure to find GCD of 223, 978, 42, 283?

You can find a detailed procedure to find GCD of 223, 978, 42, 283 on our page.

3. How to find GCD of 223, 978, 42, 283 on a calculator?

You can find the GCD of 223, 978, 42, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.