GCD of 111, 270, 408, 614 Calculator

Given Input numbers are 111, 270, 408, 614

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 111, 270, 408, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 270, 408, 614 is 1.

Therefore, GCD of numbers 111, 270, 408, 614 is 1

Given Input Data is 111, 270, 408, 614

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 614 is 2 x 307

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(111, 270) = 9990

GCD(111, 270) = ( 111 x 270 ) / 9990

GCD(111, 270) = 29970 / 9990

GCD(111, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 408

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

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

GCD(3, 408) = 1224 / 408

GCD(3, 408) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 614

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

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

GCD(3, 614) = 1842 / 1842

GCD(3, 614) = 1

GCD of 111, 270, 408, 614 is 1

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1. What is the GCD of 111, 270, 408, 614?

GCD of 111, 270, 408, 614 is 1

2. Where do I get the detailed procedure to find GCD of 111, 270, 408, 614?

You can find a detailed procedure to find GCD of 111, 270, 408, 614 on our page.

3. How to find GCD of 111, 270, 408, 614 on a calculator?

You can find the GCD of 111, 270, 408, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.