GCD of 644, 736, 984 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 644, 736, 984 quickly. Get the easiest ways to solve the greatest common divisor of 644, 736, 984 i.e 4 in different methods as follows.
Given Input numbers are 644, 736, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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
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
GCD of numbers is the greatest common divisor
So, the GCD (644, 736, 984) = 4.
Given numbers are 644, 736, 984
The list of prime factors of all numbers are
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 644, 736, 984 is 4.
Steps to Calculate GCD of 644, 736, 984 using LCM Formula
Given numbers are 644, 736, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(644, 736) = 5152
GCD(644, 736) = ( 644 x 736 ) / 5152
= 644 / 736
= 644
Step2:
LCM(92, 984) = 22632
GCD(92, 984) = ( 92 x 984 ) / 22632
= 92 / 984
= 92
So, Greatest Common Divisor of 644, 736, 984 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 644, 736, 984
Given numbers are 644, 736, 984
The greatest common divisor of numbers 644, 736, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 736, 984 is 4.
FAQs on GCD of 644, 736, 984 Calculator
1. What is the GCD of 644, 736, 984?
GCD of given numbers 644, 736, 984 is 4
2. How to calculate the greatest common divisor of 644, 736, 984?
We can find the highest common divisor of 644, 736, 984 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 644, 736, 984 i.e 4.
3. How can I use the GCD of 644, 736, 984Calculator?
Out the numbers 644, 736, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.