GCD of 990, 870, 213 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 870, 213 quickly. Get the easiest ways to solve the greatest common divisor of 990, 870, 213 i.e 3 in different methods as follows.
Given Input numbers are 990, 870, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (990, 870, 213) = 3.
Given numbers are 990, 870, 213
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 990, 870, 213 is 3.
Steps to Calculate GCD of 990, 870, 213 using LCM Formula
Given numbers are 990, 870, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 870) = 28710
GCD(990, 870) = ( 990 x 870 ) / 28710
= 990 / 870
= 990
Step2:
LCM(30, 213) = 2130
GCD(30, 213) = ( 30 x 213 ) / 2130
= 30 / 213
= 30
So, Greatest Common Divisor of 990, 870, 213 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 990, 870, 213
Given numbers are 990, 870, 213
The greatest common divisor of numbers 990, 870, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 870, 213 is 3.
FAQs on GCD of 990, 870, 213 Calculator
1. What is the GCD of 990, 870, 213?
GCD of given numbers 990, 870, 213 is 3
2. How to calculate the greatest common divisor of 990, 870, 213?
We can find the highest common divisor of 990, 870, 213 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 990, 870, 213 i.e 3.
3. How can I use the GCD of 990, 870, 213Calculator?
Out the numbers 990, 870, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.