GCD of 494, 684, 266 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 494, 684, 266 quickly. Get the easiest ways to solve the greatest common divisor of 494, 684, 266 i.e 38 in different methods as follows.
Given Input numbers are 494, 684, 266
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
GCD of numbers is the greatest common divisor
So, the GCD (494, 684, 266) = 38.
Given numbers are 494, 684, 266
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 266 are 2 x 7 x 19
The highest common occurrence is 191 x 21
Therefore, GCD of 494, 684, 266 is 38.
Steps to Calculate GCD of 494, 684, 266 using LCM Formula
Given numbers are 494, 684, 266
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 684) = 8892
GCD(494, 684) = ( 494 x 684 ) / 8892
= 494 / 684
= 494
Step2:
LCM(38, 266) = 266
GCD(38, 266) = ( 38 x 266 ) / 266
= 38 / 266
= 38
So, Greatest Common Divisor of 494, 684, 266 is 38
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 494, 684, 266
Given numbers are 494, 684, 266
The greatest common divisor of numbers 494, 684, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 684, 266 is 38.
FAQs on GCD of 494, 684, 266 Calculator
1. What is the GCD of 494, 684, 266?
GCD of given numbers 494, 684, 266 is 38
2. How to calculate the greatest common divisor of 494, 684, 266?
We can find the highest common divisor of 494, 684, 266 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 494, 684, 266 i.e 38.
3. How can I use the GCD of 494, 684, 266Calculator?
Out the numbers 494, 684, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.