GCD of 765, 320, 335 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 765, 320, 335 quickly. Get the easiest ways to solve the greatest common divisor of 765, 320, 335 i.e 5 in different methods as follows.
Given Input numbers are 765, 320, 335
In the factoring method, we have to find the divisors of all numbers
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
GCD of numbers is the greatest common divisor
So, the GCD (765, 320, 335) = 5.
Given numbers are 765, 320, 335
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 335 are 5 x 67
The highest common occurrence is 51
Therefore, GCD of 765, 320, 335 is 5.
Steps to Calculate GCD of 765, 320, 335 using LCM Formula
Given numbers are 765, 320, 335
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 320) = 48960
GCD(765, 320) = ( 765 x 320 ) / 48960
= 765 / 320
= 765
Step2:
LCM(5, 335) = 335
GCD(5, 335) = ( 5 x 335 ) / 335
= 5 / 335
= 5
So, Greatest Common Divisor of 765, 320, 335 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 765, 320, 335
Given numbers are 765, 320, 335
The greatest common divisor of numbers 765, 320, 335 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 320, 335 is 5.
FAQs on GCD of 765, 320, 335 Calculator
1. What is the GCD of 765, 320, 335?
GCD of given numbers 765, 320, 335 is 5
2. How to calculate the greatest common divisor of 765, 320, 335?
We can find the highest common divisor of 765, 320, 335 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 765, 320, 335 i.e 5.
3. How can I use the GCD of 765, 320, 335Calculator?
Out the numbers 765, 320, 335 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.