GCD of 380, 966, 198, 974 Calculator

Given Input numbers are 380, 966, 198, 974

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 380, 966, 198, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 966, 198, 974 is 2.

Therefore, GCD of numbers 380, 966, 198, 974 is 2

Given Input Data is 380, 966, 198, 974

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 974 is 2 x 487

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(380, 966) = 183540

GCD(380, 966) = ( 380 x 966 ) / 183540

GCD(380, 966) = 367080 / 183540

GCD(380, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

GCD of 380, 966, 198, 974 is 2

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1. What is the GCD of 380, 966, 198, 974?

GCD of 380, 966, 198, 974 is 2

2. Where do I get the detailed procedure to find GCD of 380, 966, 198, 974?

You can find a detailed procedure to find GCD of 380, 966, 198, 974 on our page.

3. How to find GCD of 380, 966, 198, 974 on a calculator?

You can find the GCD of 380, 966, 198, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.