GCD of 396, 190, 934, 980 Calculator

Given Input numbers are 396, 190, 934, 980

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 396, 190, 934, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 190, 934, 980 is 2.

Therefore, GCD of numbers 396, 190, 934, 980 is 2

Given Input Data is 396, 190, 934, 980

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 934 is 2 x 467

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(396, 190) = 37620

GCD(396, 190) = ( 396 x 190 ) / 37620

GCD(396, 190) = 75240 / 37620

GCD(396, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

GCD of 396, 190, 934, 980 is 2

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1. What is the GCD of 396, 190, 934, 980?

GCD of 396, 190, 934, 980 is 2

2. Where do I get the detailed procedure to find GCD of 396, 190, 934, 980?

You can find a detailed procedure to find GCD of 396, 190, 934, 980 on our page.

3. How to find GCD of 396, 190, 934, 980 on a calculator?

You can find the GCD of 396, 190, 934, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.