Online GCD Calculator is useful to find the GCD of 213, 711, 882 quickly. Get the easiest ways to solve the greatest common divisor of 213, 711, 882 i.e 3 in different methods as follows.
Given Input numbers are 213, 711, 882
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 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (213, 711, 882) = 3.
Given numbers are 213, 711, 882
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 711 are 3 x 3 x 79
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 213, 711, 882 is 3.
Given numbers are 213, 711, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 711) = 50481
GCD(213, 711) = ( 213 x 711 ) / 50481
= 213 / 711
= 213
Step2:
LCM(3, 882) = 882
GCD(3, 882) = ( 3 x 882 ) / 882
= 3 / 882
= 3
So, Greatest Common Divisor of 213, 711, 882 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 711, 882
The greatest common divisor of numbers 213, 711, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 711, 882 is 3.
1. What is the GCD of 213, 711, 882?
GCD of given numbers 213, 711, 882 is 3
2. How to calculate the greatest common divisor of 213, 711, 882?
We can find the highest common divisor of 213, 711, 882 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, 711, 882 i.e 3.
3. How can I use the GCD of 213, 711, 882Calculator?
Out the numbers 213, 711, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.