GCD of 564, 993, 126 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 993, 126 quickly. Get the easiest ways to solve the greatest common divisor of 564, 993, 126 i.e 3 in different methods as follows.
Given Input numbers are 564, 993, 126
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (564, 993, 126) = 3.
Given numbers are 564, 993, 126
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 993 are 3 x 331
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 564, 993, 126 is 3.
Steps to Calculate GCD of 564, 993, 126 using LCM Formula
Given numbers are 564, 993, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 993) = 186684
GCD(564, 993) = ( 564 x 993 ) / 186684
= 564 / 993
= 564
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
So, Greatest Common Divisor of 564, 993, 126 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 993, 126
Given numbers are 564, 993, 126
The greatest common divisor of numbers 564, 993, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 993, 126 is 3.
FAQs on GCD of 564, 993, 126 Calculator
1. What is the GCD of 564, 993, 126?
GCD of given numbers 564, 993, 126 is 3
2. How to calculate the greatest common divisor of 564, 993, 126?
We can find the highest common divisor of 564, 993, 126 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 564, 993, 126 i.e 3.
3. How can I use the GCD of 564, 993, 126Calculator?
Out the numbers 564, 993, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.