GCD of 214, 752, 200 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 214, 752, 200 quickly. Get the easiest ways to solve the greatest common divisor of 214, 752, 200 i.e 2 in different methods as follows.
Given Input numbers are 214, 752, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (214, 752, 200) = 2.
Given numbers are 214, 752, 200
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 214, 752, 200 is 2.
Steps to Calculate GCD of 214, 752, 200 using LCM Formula
Given numbers are 214, 752, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 752) = 80464
GCD(214, 752) = ( 214 x 752 ) / 80464
= 214 / 752
= 214
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 214, 752, 200 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 214, 752, 200
Given numbers are 214, 752, 200
The greatest common divisor of numbers 214, 752, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 752, 200 is 2.
FAQs on GCD of 214, 752, 200 Calculator
1. What is the GCD of 214, 752, 200?
GCD of given numbers 214, 752, 200 is 2
2. How to calculate the greatest common divisor of 214, 752, 200?
We can find the highest common divisor of 214, 752, 200 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 214, 752, 200 i.e 2.
3. How can I use the GCD of 214, 752, 200Calculator?
Out the numbers 214, 752, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.