GCD of 114, 120, 83 Calculator
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, 120, 83 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 120, 83 is 1
GCD(114, 120, 83) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 120, 83 is 1
GCD(114, 120, 83) = 1
GCDof 114,120,83 is 1
Given Input numbers are 114, 120, 83
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 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Greatest Common Divisior
We found the divisors of 114, 120, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 120, 83 is 1.
Therefore, GCD of numbers 114, 120, 83 is 1
Given Input Data is 114, 120, 83
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 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 83 is 83
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 114, 120, 83 using LCM Formula
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, 120) = 2280
GCD(114, 120) = ( 114 x 120 ) / 2280
GCD(114, 120) = 13680 / 2280
GCD(114, 120) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 83) = 498
GCD(6, 83) = ( 6 x 83 ) / 498
GCD(6, 83) = 498 / 498
GCD(6, 83) = 1
GCD of 114, 120, 83 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 114, 120, 83
1. What is the GCD of 114, 120, 83?
GCD of 114, 120, 83 is 1
2. Where do I get the detailed procedure to find GCD of 114, 120, 83?
You can find a detailed procedure to find GCD of 114, 120, 83 on our page.
3. How to find GCD of 114, 120, 83 on a calculator?
You can find the GCD of 114, 120, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
