Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 14, 136, 738, 418 i.e. 2 largest integer that divides all the numbers equally.
GCD of 14, 136, 738, 418 is 2
GCD(14, 136, 738, 418) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 136, 738, 418 is 2
GCD(14, 136, 738, 418) = 2
Given Input numbers are 14, 136, 738, 418
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Greatest Common Divisior
We found the divisors of 14, 136, 738, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 136, 738, 418 is 2.
Therefore, GCD of numbers 14, 136, 738, 418 is 2
Given Input Data is 14, 136, 738, 418
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 418 is 2 x 11 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(14, 136) = 952
GCD(14, 136) = ( 14 x 136 ) / 952
GCD(14, 136) = 1904 / 952
GCD(14, 136) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
GCD(2, 738) = 1476 / 738
GCD(2, 738) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
GCD(2, 418) = 836 / 418
GCD(2, 418) = 2
GCD of 14, 136, 738, 418 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 136, 738, 418?
GCD of 14, 136, 738, 418 is 2
2. Where do I get the detailed procedure to find GCD of 14, 136, 738, 418?
You can find a detailed procedure to find GCD of 14, 136, 738, 418 on our page.
3. How to find GCD of 14, 136, 738, 418 on a calculator?
You can find the GCD of 14, 136, 738, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.