GCD of 612, 890, 338, 372 Calculator

Given Input numbers are 612, 890, 338, 372

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 890

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

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 612, 890, 338, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 890, 338, 372 is 2.

Therefore, GCD of numbers 612, 890, 338, 372 is 2

Given Input Data is 612, 890, 338, 372

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(612, 890) = 272340

GCD(612, 890) = ( 612 x 890 ) / 272340

GCD(612, 890) = 544680 / 272340

GCD(612, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 372

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

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

GCD(2, 372) = 744 / 372

GCD(2, 372) = 2

GCD of 612, 890, 338, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 382, 247, 102
• GCD of 909, 191, 154, 339
• GCD of 473, 432, 639, 444
• GCD of 261, 281, 518, 688
• GCD of 209, 999, 196, 675

1. What is the GCD of 612, 890, 338, 372?

GCD of 612, 890, 338, 372 is 2

2. Where do I get the detailed procedure to find GCD of 612, 890, 338, 372?

You can find a detailed procedure to find GCD of 612, 890, 338, 372 on our page.

3. How to find GCD of 612, 890, 338, 372 on a calculator?

You can find the GCD of 612, 890, 338, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.