GCD of 114, 185, 688, 446 Calculator

Given Input numbers are 114, 185, 688, 446

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 185

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

1, 5, 37, 185

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 114, 185, 688, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 185, 688, 446 is 1.

Therefore, GCD of numbers 114, 185, 688, 446 is 1

Given Input Data is 114, 185, 688, 446

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 185 is 5 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 446 is 2 x 223

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(114, 185) = 21090

GCD(114, 185) = ( 114 x 185 ) / 21090

GCD(114, 185) = 21090 / 21090

GCD(114, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 114, 185, 688, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 137, 867, 729
• GCD of 358, 107, 764, 302
• GCD of 169, 578, 797, 643
• GCD of 872, 283, 539, 793
• GCD of 920, 402, 396, 519

1. What is the GCD of 114, 185, 688, 446?

GCD of 114, 185, 688, 446 is 1

2. Where do I get the detailed procedure to find GCD of 114, 185, 688, 446?

You can find a detailed procedure to find GCD of 114, 185, 688, 446 on our page.

3. How to find GCD of 114, 185, 688, 446 on a calculator?

You can find the GCD of 114, 185, 688, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.