GCD of 354, 136, 492 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 354, 136, 492 quickly. Get the easiest ways to solve the greatest common divisor of 354, 136, 492 i.e 2 in different methods as follows.
Given Input numbers are 354, 136, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (354, 136, 492) = 2.
Given numbers are 354, 136, 492
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 354, 136, 492 is 2.
Steps to Calculate GCD of 354, 136, 492 using LCM Formula
Given numbers are 354, 136, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 136) = 24072
GCD(354, 136) = ( 354 x 136 ) / 24072
= 354 / 136
= 354
Step2:
LCM(2, 492) = 492
GCD(2, 492) = ( 2 x 492 ) / 492
= 2 / 492
= 2
So, Greatest Common Divisor of 354, 136, 492 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 354, 136, 492
Given numbers are 354, 136, 492
The greatest common divisor of numbers 354, 136, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 136, 492 is 2.
FAQs on GCD of 354, 136, 492 Calculator
1. What is the GCD of 354, 136, 492?
GCD of given numbers 354, 136, 492 is 2
2. How to calculate the greatest common divisor of 354, 136, 492?
We can find the highest common divisor of 354, 136, 492 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 354, 136, 492 i.e 2.
3. How can I use the GCD of 354, 136, 492Calculator?
Out the numbers 354, 136, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.