GCD of 116, 275, 114 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 116, 275, 114 quickly. Get the easiest ways to solve the greatest common divisor of 116, 275, 114 i.e 1 in different methods as follows.
Given Input numbers are 116, 275, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (116, 275, 114) = 1.
Given numbers are 116, 275, 114
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 275 are 5 x 5 x 11
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 116, 275, 114 using LCM Formula
Given numbers are 116, 275, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 275) = 31900
GCD(116, 275) = ( 116 x 275 ) / 31900
= 116 / 275
= 116
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 116, 275, 114 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 116, 275, 114
Given numbers are 116, 275, 114
The greatest common divisor of numbers 116, 275, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 275, 114 is 1.
FAQs on GCD of 116, 275, 114 Calculator
1. What is the GCD of 116, 275, 114?
GCD of given numbers 116, 275, 114 is 1
2. How to calculate the greatest common divisor of 116, 275, 114?
We can find the highest common divisor of 116, 275, 114 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 116, 275, 114 i.e 1.
3. How can I use the GCD of 116, 275, 114Calculator?
Out the numbers 116, 275, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.