GCD of 312, 458, 398, 150 Calculator

Given Input numbers are 312, 458, 398, 150

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 312, 458, 398, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 458, 398, 150 is 2.

Therefore, GCD of numbers 312, 458, 398, 150 is 2

Given Input Data is 312, 458, 398, 150

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 458 is 2 x 229

Prime Factorization of 398 is 2 x 199

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(312, 458) = 71448

GCD(312, 458) = ( 312 x 458 ) / 71448

GCD(312, 458) = 142896 / 71448

GCD(312, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 150

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

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

GCD(2, 150) = 300 / 150

GCD(2, 150) = 2

GCD of 312, 458, 398, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 297, 501, 927
• GCD of 942, 249, 432, 212
• GCD of 576, 358, 790, 586
• GCD of 822, 167, 230, 946
• GCD of 310, 922, 219, 997

1. What is the GCD of 312, 458, 398, 150?

GCD of 312, 458, 398, 150 is 2

2. Where do I get the detailed procedure to find GCD of 312, 458, 398, 150?

You can find a detailed procedure to find GCD of 312, 458, 398, 150 on our page.

3. How to find GCD of 312, 458, 398, 150 on a calculator?

You can find the GCD of 312, 458, 398, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.