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 114, 214, 60, 272 i.e. 2 largest integer that divides all the numbers equally.
GCD of 114, 214, 60, 272 is 2
GCD(114, 214, 60, 272) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 214, 60, 272 is 2
GCD(114, 214, 60, 272) = 2
Given Input numbers are 114, 214, 60, 272
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 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 114, 214, 60, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 214, 60, 272 is 2.
Therefore, GCD of numbers 114, 214, 60, 272 is 2
Given Input Data is 114, 214, 60, 272
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 214 is 2 x 107
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(114, 214) = 12198
GCD(114, 214) = ( 114 x 214 ) / 12198
GCD(114, 214) = 24396 / 12198
GCD(114, 214) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
GCD(2, 60) = 120 / 60
GCD(2, 60) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
GCD(2, 272) = 544 / 272
GCD(2, 272) = 2
GCD of 114, 214, 60, 272 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 214, 60, 272?
GCD of 114, 214, 60, 272 is 2
2. Where do I get the detailed procedure to find GCD of 114, 214, 60, 272?
You can find a detailed procedure to find GCD of 114, 214, 60, 272 on our page.
3. How to find GCD of 114, 214, 60, 272 on a calculator?
You can find the GCD of 114, 214, 60, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.