GCD of 975, 180, 648 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 975, 180, 648 quickly. Get the easiest ways to solve the greatest common divisor of 975, 180, 648 i.e 3 in different methods as follows.
Given Input numbers are 975, 180, 648
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 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 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (975, 180, 648) = 3.
Given numbers are 975, 180, 648
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 975, 180, 648 is 3.
Steps to Calculate GCD of 975, 180, 648 using LCM Formula
Given numbers are 975, 180, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 180) = 11700
GCD(975, 180) = ( 975 x 180 ) / 11700
= 975 / 180
= 975
Step2:
LCM(15, 648) = 3240
GCD(15, 648) = ( 15 x 648 ) / 3240
= 15 / 648
= 15
So, Greatest Common Divisor of 975, 180, 648 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 975, 180, 648
Given numbers are 975, 180, 648
The greatest common divisor of numbers 975, 180, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 180, 648 is 3.
FAQs on GCD of 975, 180, 648 Calculator
1. What is the GCD of 975, 180, 648?
GCD of given numbers 975, 180, 648 is 3
2. How to calculate the greatest common divisor of 975, 180, 648?
We can find the highest common divisor of 975, 180, 648 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, 180, 648 i.e 3.
3. How can I use the GCD of 975, 180, 648Calculator?
Out the numbers 975, 180, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.