GCD of 380, 954, 628, 890 Calculator

Given Input numbers are 380, 954, 628, 890

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 380, 954, 628, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 954, 628, 890 is 2.

Therefore, GCD of numbers 380, 954, 628, 890 is 2

Given Input Data is 380, 954, 628, 890

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 890 is 2 x 5 x 89

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, 954) = 181260

GCD(380, 954) = ( 380 x 954 ) / 181260

GCD(380, 954) = 362520 / 181260

GCD(380, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 380, 954, 628, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 174, 243, 545
• GCD of 837, 744, 433, 803
• GCD of 109, 502, 396, 468
• GCD of 510, 406, 603, 668
• GCD of 980, 585, 377, 599

1. What is the GCD of 380, 954, 628, 890?

GCD of 380, 954, 628, 890 is 2

2. Where do I get the detailed procedure to find GCD of 380, 954, 628, 890?

You can find a detailed procedure to find GCD of 380, 954, 628, 890 on our page.

3. How to find GCD of 380, 954, 628, 890 on a calculator?

You can find the GCD of 380, 954, 628, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.