GCD of 341, 704, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 341, 704, 660 quickly. Get the easiest ways to solve the greatest common divisor of 341, 704, 660 i.e 11 in different methods as follows.
Given Input numbers are 341, 704, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (341, 704, 660) = 11.
Given numbers are 341, 704, 660
The list of prime factors of all numbers are
Prime factors of 341 are 11 x 31
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 341, 704, 660 is 11.
Steps to Calculate GCD of 341, 704, 660 using LCM Formula
Given numbers are 341, 704, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(341, 704) = 21824
GCD(341, 704) = ( 341 x 704 ) / 21824
= 341 / 704
= 341
Step2:
LCM(11, 660) = 660
GCD(11, 660) = ( 11 x 660 ) / 660
= 11 / 660
= 11
So, Greatest Common Divisor of 341, 704, 660 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 341, 704, 660
Given numbers are 341, 704, 660
The greatest common divisor of numbers 341, 704, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 341, 704, 660 is 11.
FAQs on GCD of 341, 704, 660 Calculator
1. What is the GCD of 341, 704, 660?
GCD of given numbers 341, 704, 660 is 11
2. How to calculate the greatest common divisor of 341, 704, 660?
We can find the highest common divisor of 341, 704, 660 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 341, 704, 660 i.e 11.
3. How can I use the GCD of 341, 704, 660Calculator?
Out the numbers 341, 704, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.