GCD of 683, 153, 14, 114 Calculator

Given Input numbers are 683, 153, 14, 114

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 114

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

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

Greatest Common Divisior

We found the divisors of 683, 153, 14, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 153, 14, 114 is 1.

Therefore, GCD of numbers 683, 153, 14, 114 is 1

Given Input Data is 683, 153, 14, 114

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

Prime Factorization of 683 is 683

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 114 is 2 x 3 x 19

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(683, 153) = 104499

GCD(683, 153) = ( 683 x 153 ) / 104499

GCD(683, 153) = 104499 / 104499

GCD(683, 153) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 683, 153, 14, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 235, 62, 859
• GCD of 856, 858, 49, 440
• GCD of 691, 248, 38, 758
• GCD of 978, 577, 75, 985
• GCD of 737, 656, 16, 654

1. What is the GCD of 683, 153, 14, 114?

GCD of 683, 153, 14, 114 is 1

2. Where do I get the detailed procedure to find GCD of 683, 153, 14, 114?

You can find a detailed procedure to find GCD of 683, 153, 14, 114 on our page.

3. How to find GCD of 683, 153, 14, 114 on a calculator?

You can find the GCD of 683, 153, 14, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.