GCD of 300, 756, 564 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 300, 756, 564 quickly. Get the easiest ways to solve the greatest common divisor of 300, 756, 564 i.e 12 in different methods as follows.
Given Input numbers are 300, 756, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 (300, 756, 564) = 12.
Given numbers are 300, 756, 564
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 22 x 31
Therefore, GCD of 300, 756, 564 is 12.
Steps to Calculate GCD of 300, 756, 564 using LCM Formula
Given numbers are 300, 756, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 756) = 18900
GCD(300, 756) = ( 300 x 756 ) / 18900
= 300 / 756
= 300
Step2:
LCM(12, 564) = 564
GCD(12, 564) = ( 12 x 564 ) / 564
= 12 / 564
= 12
So, Greatest Common Divisor of 300, 756, 564 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 300, 756, 564
Given numbers are 300, 756, 564
The greatest common divisor of numbers 300, 756, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 756, 564 is 12.
FAQs on GCD of 300, 756, 564 Calculator
1. What is the GCD of 300, 756, 564?
GCD of given numbers 300, 756, 564 is 12
2. How to calculate the greatest common divisor of 300, 756, 564?
We can find the highest common divisor of 300, 756, 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 300, 756, 564 i.e 12.
3. How can I use the GCD of 300, 756, 564Calculator?
Out the numbers 300, 756, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.