GCD of 414, 935, 69, 338 Calculator

Given Input numbers are 414, 935, 69, 338

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

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 414, 935, 69, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 935, 69, 338 is 1.

Therefore, GCD of numbers 414, 935, 69, 338 is 1

Given Input Data is 414, 935, 69, 338

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

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 69 is 3 x 23

Prime Factorization of 338 is 2 x 13 x 13

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(414, 935) = 387090

GCD(414, 935) = ( 414 x 935 ) / 387090

GCD(414, 935) = 387090 / 387090

GCD(414, 935) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 414, 935, 69, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 753, 34, 534
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• GCD of 385, 210, 97, 630

1. What is the GCD of 414, 935, 69, 338?

GCD of 414, 935, 69, 338 is 1

2. Where do I get the detailed procedure to find GCD of 414, 935, 69, 338?

You can find a detailed procedure to find GCD of 414, 935, 69, 338 on our page.

3. How to find GCD of 414, 935, 69, 338 on a calculator?

You can find the GCD of 414, 935, 69, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.