GCD of 418, 370, 630, 308 Calculator

Given Input numbers are 418, 370, 630, 308

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 418, 370, 630, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 370, 630, 308 is 2.

Therefore, GCD of numbers 418, 370, 630, 308 is 2

Given Input Data is 418, 370, 630, 308

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(418, 370) = 77330

GCD(418, 370) = ( 418 x 370 ) / 77330

GCD(418, 370) = 154660 / 77330

GCD(418, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

GCD of 418, 370, 630, 308 is 2

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1. What is the GCD of 418, 370, 630, 308?

GCD of 418, 370, 630, 308 is 2

2. Where do I get the detailed procedure to find GCD of 418, 370, 630, 308?

You can find a detailed procedure to find GCD of 418, 370, 630, 308 on our page.

3. How to find GCD of 418, 370, 630, 308 on a calculator?

You can find the GCD of 418, 370, 630, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.