GCD of 118, 338, 264 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 118, 338, 264 quickly. Get the easiest ways to solve the greatest common divisor of 118, 338, 264 i.e 2 in different methods as follows.
Given Input numbers are 118, 338, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (118, 338, 264) = 2.
Given numbers are 118, 338, 264
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 338 are 2 x 13 x 13
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 118, 338, 264 is 2.
Steps to Calculate GCD of 118, 338, 264 using LCM Formula
Given numbers are 118, 338, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 338) = 19942
GCD(118, 338) = ( 118 x 338 ) / 19942
= 118 / 338
= 118
Step2:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
So, Greatest Common Divisor of 118, 338, 264 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 118, 338, 264
Given numbers are 118, 338, 264
The greatest common divisor of numbers 118, 338, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 338, 264 is 2.
FAQs on GCD of 118, 338, 264 Calculator
1. What is the GCD of 118, 338, 264?
GCD of given numbers 118, 338, 264 is 2
2. How to calculate the greatest common divisor of 118, 338, 264?
We can find the highest common divisor of 118, 338, 264 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 118, 338, 264 i.e 2.
3. How can I use the GCD of 118, 338, 264Calculator?
Out the numbers 118, 338, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.