GCD of 975, 465, 564 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 975, 465, 564 quickly. Get the easiest ways to solve the greatest common divisor of 975, 465, 564 i.e 3 in different methods as follows.
Given Input numbers are 975, 465, 564
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (975, 465, 564) = 3.
Given numbers are 975, 465, 564
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 465 are 3 x 5 x 31
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 975, 465, 564 is 3.
Steps to Calculate GCD of 975, 465, 564 using LCM Formula
Given numbers are 975, 465, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 465) = 30225
GCD(975, 465) = ( 975 x 465 ) / 30225
= 975 / 465
= 975
Step2:
LCM(15, 564) = 2820
GCD(15, 564) = ( 15 x 564 ) / 2820
= 15 / 564
= 15
So, Greatest Common Divisor of 975, 465, 564 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 975, 465, 564
Given numbers are 975, 465, 564
The greatest common divisor of numbers 975, 465, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 465, 564 is 3.
FAQs on GCD of 975, 465, 564 Calculator
1. What is the GCD of 975, 465, 564?
GCD of given numbers 975, 465, 564 is 3
2. How to calculate the greatest common divisor of 975, 465, 564?
We can find the highest common divisor of 975, 465, 564 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, 465, 564 i.e 3.
3. How can I use the GCD of 975, 465, 564Calculator?
Out the numbers 975, 465, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.