GCD of 984, 660, 736 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 984, 660, 736 quickly. Get the easiest ways to solve the greatest common divisor of 984, 660, 736 i.e 4 in different methods as follows.
Given Input numbers are 984, 660, 736
In the factoring method, we have to find the divisors of all numbers
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (984, 660, 736) = 4.
Given numbers are 984, 660, 736
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 984, 660, 736 is 4.
Steps to Calculate GCD of 984, 660, 736 using LCM Formula
Given numbers are 984, 660, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 660) = 54120
GCD(984, 660) = ( 984 x 660 ) / 54120
= 984 / 660
= 984
Step2:
LCM(12, 736) = 2208
GCD(12, 736) = ( 12 x 736 ) / 2208
= 12 / 736
= 12
So, Greatest Common Divisor of 984, 660, 736 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 984, 660, 736
Given numbers are 984, 660, 736
The greatest common divisor of numbers 984, 660, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 660, 736 is 4.
FAQs on GCD of 984, 660, 736 Calculator
1. What is the GCD of 984, 660, 736?
GCD of given numbers 984, 660, 736 is 4
2. How to calculate the greatest common divisor of 984, 660, 736?
We can find the highest common divisor of 984, 660, 736 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 984, 660, 736 i.e 4.
3. How can I use the GCD of 984, 660, 736Calculator?
Out the numbers 984, 660, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.