GCD of 266, 380, 114 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 266, 380, 114 quickly. Get the easiest ways to solve the greatest common divisor of 266, 380, 114 i.e 38 in different methods as follows.
Given Input numbers are 266, 380, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 (266, 380, 114) = 38.
Given numbers are 266, 380, 114
The list of prime factors of all numbers are
Prime factors of 266 are 2 x 7 x 19
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 114 are 2 x 3 x 19
The highest common occurrence is 191 x 21
Therefore, GCD of 266, 380, 114 is 38.
Steps to Calculate GCD of 266, 380, 114 using LCM Formula
Given numbers are 266, 380, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(266, 380) = 2660
GCD(266, 380) = ( 266 x 380 ) / 2660
= 266 / 380
= 266
Step2:
LCM(38, 114) = 114
GCD(38, 114) = ( 38 x 114 ) / 114
= 38 / 114
= 38
So, Greatest Common Divisor of 266, 380, 114 is 38
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 266, 380, 114
Given numbers are 266, 380, 114
The greatest common divisor of numbers 266, 380, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 380, 114 is 38.
FAQs on GCD of 266, 380, 114 Calculator
1. What is the GCD of 266, 380, 114?
GCD of given numbers 266, 380, 114 is 38
2. How to calculate the greatest common divisor of 266, 380, 114?
We can find the highest common divisor of 266, 380, 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 266, 380, 114 i.e 38.
3. How can I use the GCD of 266, 380, 114Calculator?
Out the numbers 266, 380, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.