GCD of 339, 978, 88, 110 Calculator

Given Input numbers are 339, 978, 88, 110

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 339, 978, 88, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 978, 88, 110 is 1.

Therefore, GCD of numbers 339, 978, 88, 110 is 1

Given Input Data is 339, 978, 88, 110

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 110 is 2 x 5 x 11

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(339, 978) = 110514

GCD(339, 978) = ( 339 x 978 ) / 110514

GCD(339, 978) = 331542 / 110514

GCD(339, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 88

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

LCM(3, 88) = 264

GCD(3, 88) = ( 3 x 88 ) / 264

GCD(3, 88) = 264 / 264

GCD(3, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 339, 978, 88, 110 is 1

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1. What is the GCD of 339, 978, 88, 110?

GCD of 339, 978, 88, 110 is 1

2. Where do I get the detailed procedure to find GCD of 339, 978, 88, 110?

You can find a detailed procedure to find GCD of 339, 978, 88, 110 on our page.

3. How to find GCD of 339, 978, 88, 110 on a calculator?

You can find the GCD of 339, 978, 88, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.