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 272, 116, 85, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 116, 85, 114 is 1
GCD(272, 116, 85, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 116, 85, 114 is 1
GCD(272, 116, 85, 114) = 1
Given Input numbers are 272, 116, 85, 114
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
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 272, 116, 85, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 116, 85, 114 is 1.
Therefore, GCD of numbers 272, 116, 85, 114 is 1
Given Input Data is 272, 116, 85, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 85 is 5 x 17
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(272, 116) = 7888
GCD(272, 116) = ( 272 x 116 ) / 7888
GCD(272, 116) = 31552 / 7888
GCD(272, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 85) = 340
GCD(4, 85) = ( 4 x 85 ) / 340
GCD(4, 85) = 340 / 340
GCD(4, 85) = 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 272, 116, 85, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 116, 85, 114?
GCD of 272, 116, 85, 114 is 1
2. Where do I get the detailed procedure to find GCD of 272, 116, 85, 114?
You can find a detailed procedure to find GCD of 272, 116, 85, 114 on our page.
3. How to find GCD of 272, 116, 85, 114 on a calculator?
You can find the GCD of 272, 116, 85, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.