GCD of 996, 723, 470 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 996, 723, 470 quickly. Get the easiest ways to solve the greatest common divisor of 996, 723, 470 i.e 1 in different methods as follows.
Given Input numbers are 996, 723, 470
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (996, 723, 470) = 1.
Given numbers are 996, 723, 470
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 723 are 3 x 241
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 996, 723, 470 using LCM Formula
Given numbers are 996, 723, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 723) = 240036
GCD(996, 723) = ( 996 x 723 ) / 240036
= 996 / 723
= 996
Step2:
LCM(3, 470) = 1410
GCD(3, 470) = ( 3 x 470 ) / 1410
= 3 / 470
= 3
So, Greatest Common Divisor of 996, 723, 470 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 996, 723, 470
Given numbers are 996, 723, 470
The greatest common divisor of numbers 996, 723, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 723, 470 is 1.
FAQs on GCD of 996, 723, 470 Calculator
1. What is the GCD of 996, 723, 470?
GCD of given numbers 996, 723, 470 is 1
2. How to calculate the greatest common divisor of 996, 723, 470?
We can find the highest common divisor of 996, 723, 470 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, 723, 470 i.e 1.
3. How can I use the GCD of 996, 723, 470Calculator?
Out the numbers 996, 723, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.