GCD of 118, 838, 414, 185 Calculator

Given Input numbers are 118, 838, 414, 185

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 118, 838, 414, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 838, 414, 185 is 1.

Therefore, GCD of numbers 118, 838, 414, 185 is 1

Given Input Data is 118, 838, 414, 185

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 838 is 2 x 419

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 185 is 5 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(118, 838) = 49442

GCD(118, 838) = ( 118 x 838 ) / 49442

GCD(118, 838) = 98884 / 49442

GCD(118, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 118, 838, 414, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 246, 944, 628
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• GCD of 482, 439, 738, 103

1. What is the GCD of 118, 838, 414, 185?

GCD of 118, 838, 414, 185 is 1

2. Where do I get the detailed procedure to find GCD of 118, 838, 414, 185?

You can find a detailed procedure to find GCD of 118, 838, 414, 185 on our page.

3. How to find GCD of 118, 838, 414, 185 on a calculator?

You can find the GCD of 118, 838, 414, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.