GCD of 318, 228, 98, 374 Calculator

Given Input numbers are 318, 228, 98, 374

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 318, 228, 98, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 228, 98, 374 is 2.

Therefore, GCD of numbers 318, 228, 98, 374 is 2

Given Input Data is 318, 228, 98, 374

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 374 is 2 x 11 x 17

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(318, 228) = 12084

GCD(318, 228) = ( 318 x 228 ) / 12084

GCD(318, 228) = 72504 / 12084

GCD(318, 228) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 98

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

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

GCD(6, 98) = 588 / 294

GCD(6, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 318, 228, 98, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 842, 47, 783
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• GCD of 294, 510, 53, 145
• GCD of 234, 448, 20, 302
• GCD of 924, 576, 66, 230

1. What is the GCD of 318, 228, 98, 374?

GCD of 318, 228, 98, 374 is 2

2. Where do I get the detailed procedure to find GCD of 318, 228, 98, 374?

You can find a detailed procedure to find GCD of 318, 228, 98, 374 on our page.

3. How to find GCD of 318, 228, 98, 374 on a calculator?

You can find the GCD of 318, 228, 98, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.