GCD of 978, 130, 21, 159 Calculator

Given Input numbers are 978, 130, 21, 159

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

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 978, 130, 21, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 130, 21, 159 is 1.

Therefore, GCD of numbers 978, 130, 21, 159 is 1

Given Input Data is 978, 130, 21, 159

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 159 is 3 x 53

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(978, 130) = 63570

GCD(978, 130) = ( 978 x 130 ) / 63570

GCD(978, 130) = 127140 / 63570

GCD(978, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

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

GCD of 978, 130, 21, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 367, 44, 790
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• GCD of 246, 565, 15, 227
• GCD of 708, 396, 46, 873

1. What is the GCD of 978, 130, 21, 159?

GCD of 978, 130, 21, 159 is 1

2. Where do I get the detailed procedure to find GCD of 978, 130, 21, 159?

You can find a detailed procedure to find GCD of 978, 130, 21, 159 on our page.

3. How to find GCD of 978, 130, 21, 159 on a calculator?

You can find the GCD of 978, 130, 21, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.