GCD of 116, 349, 159, 978 Calculator

Given Input numbers are 116, 349, 159, 978

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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 116, 349, 159, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 349, 159, 978 is 1.

Therefore, GCD of numbers 116, 349, 159, 978 is 1

Given Input Data is 116, 349, 159, 978

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 349 is 349

Prime Factorization of 159 is 3 x 53

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(116, 349) = 40484

GCD(116, 349) = ( 116 x 349 ) / 40484

GCD(116, 349) = 40484 / 40484

GCD(116, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 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 116, 349, 159, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 201, 238, 352
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1. What is the GCD of 116, 349, 159, 978?

GCD of 116, 349, 159, 978 is 1

2. Where do I get the detailed procedure to find GCD of 116, 349, 159, 978?

You can find a detailed procedure to find GCD of 116, 349, 159, 978 on our page.

3. How to find GCD of 116, 349, 159, 978 on a calculator?

You can find the GCD of 116, 349, 159, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.