GCD of 738, 492, 656 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 738, 492, 656 quickly. Get the easiest ways to solve the greatest common divisor of 738, 492, 656 i.e 82 in different methods as follows.
Given Input numbers are 738, 492, 656
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
GCD of numbers is the greatest common divisor
So, the GCD (738, 492, 656) = 82.
Given numbers are 738, 492, 656
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
The highest common occurrence is 21 x 411
Therefore, GCD of 738, 492, 656 is 82.
Steps to Calculate GCD of 738, 492, 656 using LCM Formula
Given numbers are 738, 492, 656
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 492) = 1476
GCD(738, 492) = ( 738 x 492 ) / 1476
= 738 / 492
= 738
Step2:
LCM(246, 656) = 1968
GCD(246, 656) = ( 246 x 656 ) / 1968
= 246 / 656
= 246
So, Greatest Common Divisor of 738, 492, 656 is 82
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 738, 492, 656
Given numbers are 738, 492, 656
The greatest common divisor of numbers 738, 492, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 492, 656 is 82.
FAQs on GCD of 738, 492, 656 Calculator
1. What is the GCD of 738, 492, 656?
GCD of given numbers 738, 492, 656 is 82
2. How to calculate the greatest common divisor of 738, 492, 656?
We can find the highest common divisor of 738, 492, 656 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 738, 492, 656 i.e 82.
3. How can I use the GCD of 738, 492, 656Calculator?
Out the numbers 738, 492, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.