GCD of 996, 740, 328 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 996, 740, 328 quickly. Get the easiest ways to solve the greatest common divisor of 996, 740, 328 i.e 4 in different methods as follows.
Given Input numbers are 996, 740, 328
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
GCD of numbers is the greatest common divisor
So, the GCD (996, 740, 328) = 4.
Given numbers are 996, 740, 328
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 328 are 2 x 2 x 2 x 41
The highest common occurrence is 22
Therefore, GCD of 996, 740, 328 is 4.
Steps to Calculate GCD of 996, 740, 328 using LCM Formula
Given numbers are 996, 740, 328
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 740) = 184260
GCD(996, 740) = ( 996 x 740 ) / 184260
= 996 / 740
= 996
Step2:
LCM(4, 328) = 328
GCD(4, 328) = ( 4 x 328 ) / 328
= 4 / 328
= 4
So, Greatest Common Divisor of 996, 740, 328 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 996, 740, 328
Given numbers are 996, 740, 328
The greatest common divisor of numbers 996, 740, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 740, 328 is 4.
FAQs on GCD of 996, 740, 328 Calculator
1. What is the GCD of 996, 740, 328?
GCD of given numbers 996, 740, 328 is 4
2. How to calculate the greatest common divisor of 996, 740, 328?
We can find the highest common divisor of 996, 740, 328 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 996, 740, 328 i.e 4.
3. How can I use the GCD of 996, 740, 328Calculator?
Out the numbers 996, 740, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.