GCD of 180, 715, 315 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 180, 715, 315 quickly. Get the easiest ways to solve the greatest common divisor of 180, 715, 315 i.e 5 in different methods as follows.
Given Input numbers are 180, 715, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (180, 715, 315) = 5.
Given numbers are 180, 715, 315
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 715 are 5 x 11 x 13
Prime factors of 315 are 3 x 3 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 180, 715, 315 is 5.
Steps to Calculate GCD of 180, 715, 315 using LCM Formula
Given numbers are 180, 715, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 715) = 25740
GCD(180, 715) = ( 180 x 715 ) / 25740
= 180 / 715
= 180
Step2:
LCM(5, 315) = 315
GCD(5, 315) = ( 5 x 315 ) / 315
= 5 / 315
= 5
So, Greatest Common Divisor of 180, 715, 315 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 180, 715, 315
Given numbers are 180, 715, 315
The greatest common divisor of numbers 180, 715, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 715, 315 is 5.
FAQs on GCD of 180, 715, 315 Calculator
1. What is the GCD of 180, 715, 315?
GCD of given numbers 180, 715, 315 is 5
2. How to calculate the greatest common divisor of 180, 715, 315?
We can find the highest common divisor of 180, 715, 315 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 180, 715, 315 i.e 5.
3. How can I use the GCD of 180, 715, 315Calculator?
Out the numbers 180, 715, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.