GCD of 664, 424, 734 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 664, 424, 734 quickly. Get the easiest ways to solve the greatest common divisor of 664, 424, 734 i.e 2 in different methods as follows.
Given Input numbers are 664, 424, 734
In the factoring method, we have to find the divisors of all numbers
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (664, 424, 734) = 2.
Given numbers are 664, 424, 734
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 734 are 2 x 367
The highest common occurrence is 21
Therefore, GCD of 664, 424, 734 is 2.
Steps to Calculate GCD of 664, 424, 734 using LCM Formula
Given numbers are 664, 424, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 424) = 35192
GCD(664, 424) = ( 664 x 424 ) / 35192
= 664 / 424
= 664
Step2:
LCM(8, 734) = 2936
GCD(8, 734) = ( 8 x 734 ) / 2936
= 8 / 734
= 8
So, Greatest Common Divisor of 664, 424, 734 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 664, 424, 734
Given numbers are 664, 424, 734
The greatest common divisor of numbers 664, 424, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 424, 734 is 2.
FAQs on GCD of 664, 424, 734 Calculator
1. What is the GCD of 664, 424, 734?
GCD of given numbers 664, 424, 734 is 2
2. How to calculate the greatest common divisor of 664, 424, 734?
We can find the highest common divisor of 664, 424, 734 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 664, 424, 734 i.e 2.
3. How can I use the GCD of 664, 424, 734Calculator?
Out the numbers 664, 424, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.