GCD of 900, 564, 214 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 900, 564, 214 quickly. Get the easiest ways to solve the greatest common divisor of 900, 564, 214 i.e 2 in different methods as follows.
Given Input numbers are 900, 564, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
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 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (900, 564, 214) = 2.
Given numbers are 900, 564, 214
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 214 are 2 x 107
The highest common occurrence is 21
Therefore, GCD of 900, 564, 214 is 2.
Steps to Calculate GCD of 900, 564, 214 using LCM Formula
Given numbers are 900, 564, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 564) = 42300
GCD(900, 564) = ( 900 x 564 ) / 42300
= 900 / 564
= 900
Step2:
LCM(12, 214) = 1284
GCD(12, 214) = ( 12 x 214 ) / 1284
= 12 / 214
= 12
So, Greatest Common Divisor of 900, 564, 214 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 900, 564, 214
Given numbers are 900, 564, 214
The greatest common divisor of numbers 900, 564, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 564, 214 is 2.
FAQs on GCD of 900, 564, 214 Calculator
1. What is the GCD of 900, 564, 214?
GCD of given numbers 900, 564, 214 is 2
2. How to calculate the greatest common divisor of 900, 564, 214?
We can find the highest common divisor of 900, 564, 214 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 900, 564, 214 i.e 2.
3. How can I use the GCD of 900, 564, 214Calculator?
Out the numbers 900, 564, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.