GCD of 704, 344, 764 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 704, 344, 764 quickly. Get the easiest ways to solve the greatest common divisor of 704, 344, 764 i.e 4 in different methods as follows.
Given Input numbers are 704, 344, 764
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (704, 344, 764) = 4.
Given numbers are 704, 344, 764
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 22
Therefore, GCD of 704, 344, 764 is 4.
Steps to Calculate GCD of 704, 344, 764 using LCM Formula
Given numbers are 704, 344, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 344) = 30272
GCD(704, 344) = ( 704 x 344 ) / 30272
= 704 / 344
= 704
Step2:
LCM(8, 764) = 1528
GCD(8, 764) = ( 8 x 764 ) / 1528
= 8 / 764
= 8
So, Greatest Common Divisor of 704, 344, 764 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 704, 344, 764
Given numbers are 704, 344, 764
The greatest common divisor of numbers 704, 344, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 344, 764 is 4.
FAQs on GCD of 704, 344, 764 Calculator
1. What is the GCD of 704, 344, 764?
GCD of given numbers 704, 344, 764 is 4
2. How to calculate the greatest common divisor of 704, 344, 764?
We can find the highest common divisor of 704, 344, 764 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 704, 344, 764 i.e 4.
3. How can I use the GCD of 704, 344, 764Calculator?
Out the numbers 704, 344, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.