GCD of 564, 375, 414 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 375, 414 quickly. Get the easiest ways to solve the greatest common divisor of 564, 375, 414 i.e 3 in different methods as follows.
Given Input numbers are 564, 375, 414
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (564, 375, 414) = 3.
Given numbers are 564, 375, 414
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 414 are 2 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 564, 375, 414 is 3.
Steps to Calculate GCD of 564, 375, 414 using LCM Formula
Given numbers are 564, 375, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 375) = 70500
GCD(564, 375) = ( 564 x 375 ) / 70500
= 564 / 375
= 564
Step2:
LCM(3, 414) = 414
GCD(3, 414) = ( 3 x 414 ) / 414
= 3 / 414
= 3
So, Greatest Common Divisor of 564, 375, 414 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 375, 414
Given numbers are 564, 375, 414
The greatest common divisor of numbers 564, 375, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 375, 414 is 3.
FAQs on GCD of 564, 375, 414 Calculator
1. What is the GCD of 564, 375, 414?
GCD of given numbers 564, 375, 414 is 3
2. How to calculate the greatest common divisor of 564, 375, 414?
We can find the highest common divisor of 564, 375, 414 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, 375, 414 i.e 3.
3. How can I use the GCD of 564, 375, 414Calculator?
Out the numbers 564, 375, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.