GCD of 975, 864, 186 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 975, 864, 186 quickly. Get the easiest ways to solve the greatest common divisor of 975, 864, 186 i.e 3 in different methods as follows.
Given Input numbers are 975, 864, 186
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
GCD of numbers is the greatest common divisor
So, the GCD (975, 864, 186) = 3.
Given numbers are 975, 864, 186
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 186 are 2 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 975, 864, 186 is 3.
Steps to Calculate GCD of 975, 864, 186 using LCM Formula
Given numbers are 975, 864, 186
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 864) = 280800
GCD(975, 864) = ( 975 x 864 ) / 280800
= 975 / 864
= 975
Step2:
LCM(3, 186) = 186
GCD(3, 186) = ( 3 x 186 ) / 186
= 3 / 186
= 3
So, Greatest Common Divisor of 975, 864, 186 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 975, 864, 186
Given numbers are 975, 864, 186
The greatest common divisor of numbers 975, 864, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 864, 186 is 3.
FAQs on GCD of 975, 864, 186 Calculator
1. What is the GCD of 975, 864, 186?
GCD of given numbers 975, 864, 186 is 3
2. How to calculate the greatest common divisor of 975, 864, 186?
We can find the highest common divisor of 975, 864, 186 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, 864, 186 i.e 3.
3. How can I use the GCD of 975, 864, 186Calculator?
Out the numbers 975, 864, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.