Online GCD Calculator is useful to find the GCD of 882, 684, 302 quickly. Get the easiest ways to solve the greatest common divisor of 882, 684, 302 i.e 2 in different methods as follows.
Given Input numbers are 882, 684, 302
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (882, 684, 302) = 2.
Given numbers are 882, 684, 302
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 882, 684, 302 is 2.
Given numbers are 882, 684, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 684) = 33516
GCD(882, 684) = ( 882 x 684 ) / 33516
= 882 / 684
= 882
Step2:
LCM(18, 302) = 2718
GCD(18, 302) = ( 18 x 302 ) / 2718
= 18 / 302
= 18
So, Greatest Common Divisor of 882, 684, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 684, 302
The greatest common divisor of numbers 882, 684, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 684, 302 is 2.
1. What is the GCD of 882, 684, 302?
GCD of given numbers 882, 684, 302 is 2
2. How to calculate the greatest common divisor of 882, 684, 302?
We can find the highest common divisor of 882, 684, 302 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 882, 684, 302 i.e 2.
3. How can I use the GCD of 882, 684, 302Calculator?
Out the numbers 882, 684, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.