GCD of 213, 972, 222 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 213, 972, 222 quickly. Get the easiest ways to solve the greatest common divisor of 213, 972, 222 i.e 3 in different methods as follows.
Given Input numbers are 213, 972, 222
In the factoring method, we have to find the divisors of all numbers
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (213, 972, 222) = 3.
Given numbers are 213, 972, 222
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 213, 972, 222 is 3.
Steps to Calculate GCD of 213, 972, 222 using LCM Formula
Given numbers are 213, 972, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 972) = 69012
GCD(213, 972) = ( 213 x 972 ) / 69012
= 213 / 972
= 213
Step2:
LCM(3, 222) = 222
GCD(3, 222) = ( 3 x 222 ) / 222
= 3 / 222
= 3
So, Greatest Common Divisor of 213, 972, 222 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 213, 972, 222
Given numbers are 213, 972, 222
The greatest common divisor of numbers 213, 972, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 972, 222 is 3.
FAQs on GCD of 213, 972, 222 Calculator
1. What is the GCD of 213, 972, 222?
GCD of given numbers 213, 972, 222 is 3
2. How to calculate the greatest common divisor of 213, 972, 222?
We can find the highest common divisor of 213, 972, 222 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 213, 972, 222 i.e 3.
3. How can I use the GCD of 213, 972, 222Calculator?
Out the numbers 213, 972, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.