GCD of 975, 390, 405 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 975, 390, 405 quickly. Get the easiest ways to solve the greatest common divisor of 975, 390, 405 i.e 15 in different methods as follows.
Given Input numbers are 975, 390, 405
In the factoring method, we have to find the divisors of all numbers
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
GCD of numbers is the greatest common divisor
So, the GCD (975, 390, 405) = 15.
Given numbers are 975, 390, 405
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 975, 390, 405 is 15.
Steps to Calculate GCD of 975, 390, 405 using LCM Formula
Given numbers are 975, 390, 405
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 390) = 1950
GCD(975, 390) = ( 975 x 390 ) / 1950
= 975 / 390
= 975
Step2:
LCM(195, 405) = 5265
GCD(195, 405) = ( 195 x 405 ) / 5265
= 195 / 405
= 195
So, Greatest Common Divisor of 975, 390, 405 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 975, 390, 405
Given numbers are 975, 390, 405
The greatest common divisor of numbers 975, 390, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 390, 405 is 15.
FAQs on GCD of 975, 390, 405 Calculator
1. What is the GCD of 975, 390, 405?
GCD of given numbers 975, 390, 405 is 15
2. How to calculate the greatest common divisor of 975, 390, 405?
We can find the highest common divisor of 975, 390, 405 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 975, 390, 405 i.e 15.
3. How can I use the GCD of 975, 390, 405Calculator?
Out the numbers 975, 390, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.