GCD of 705, 780, 465 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 705, 780, 465 quickly. Get the easiest ways to solve the greatest common divisor of 705, 780, 465 i.e 15 in different methods as follows.
Given Input numbers are 705, 780, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (705, 780, 465) = 15.
Given numbers are 705, 780, 465
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 465 are 3 x 5 x 31
The highest common occurrence is 31 x 51
Therefore, GCD of 705, 780, 465 is 15.
Steps to Calculate GCD of 705, 780, 465 using LCM Formula
Given numbers are 705, 780, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 780) = 36660
GCD(705, 780) = ( 705 x 780 ) / 36660
= 705 / 780
= 705
Step2:
LCM(15, 465) = 465
GCD(15, 465) = ( 15 x 465 ) / 465
= 15 / 465
= 15
So, Greatest Common Divisor of 705, 780, 465 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 705, 780, 465
Given numbers are 705, 780, 465
The greatest common divisor of numbers 705, 780, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 780, 465 is 15.
FAQs on GCD of 705, 780, 465 Calculator
1. What is the GCD of 705, 780, 465?
GCD of given numbers 705, 780, 465 is 15
2. How to calculate the greatest common divisor of 705, 780, 465?
We can find the highest common divisor of 705, 780, 465 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 705, 780, 465 i.e 15.
3. How can I use the GCD of 705, 780, 465Calculator?
Out the numbers 705, 780, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.