GCD of 664, 504, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 664, 504, 64 quickly. Get the easiest ways to solve the greatest common divisor of 664, 504, 64 i.e 8 in different methods as follows.
Given Input numbers are 664, 504, 64
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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
GCD of numbers is the greatest common divisor
So, the GCD (664, 504, 64) = 8.
Given numbers are 664, 504, 64
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 23
Therefore, GCD of 664, 504, 64 is 8.
Steps to Calculate GCD of 664, 504, 64 using LCM Formula
Given numbers are 664, 504, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 504) = 41832
GCD(664, 504) = ( 664 x 504 ) / 41832
= 664 / 504
= 664
Step2:
LCM(8, 64) = 64
GCD(8, 64) = ( 8 x 64 ) / 64
= 8 / 64
= 8
So, Greatest Common Divisor of 664, 504, 64 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 664, 504, 64
Given numbers are 664, 504, 64
The greatest common divisor of numbers 664, 504, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 504, 64 is 8.
FAQs on GCD of 664, 504, 64 Calculator
1. What is the GCD of 664, 504, 64?
GCD of given numbers 664, 504, 64 is 8
2. How to calculate the greatest common divisor of 664, 504, 64?
We can find the highest common divisor of 664, 504, 64 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, 504, 64 i.e 8.
3. How can I use the GCD of 664, 504, 64Calculator?
Out the numbers 664, 504, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.