Online GCD Calculator is useful to find the GCD of 684, 206, 132, 962 quickly. Get the easiest ways to solve the greatest common divisor of 684, 206, 132, 962 i.e 2 in different methods as follows.
Given Input numbers are 684, 206, 132, 962
In the factoring method, we have to find the divisors of all numbers
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 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (684, 206, 132, 962) = 2.
Given numbers are 684, 206, 132, 962
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 206 are 2 x 103
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 962 are 2 x 13 x 37
The highest common occurrence is 21
Therefore, GCD of 684, 206, 132, 962 is 2.
Given numbers are 684, 206, 132, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 206) = 70452
GCD(684, 206) = ( 684 x 206 ) / 70452
= 684 / 206
= 684
Step2:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
Step3:
LCM(2, 962) = 962
GCD(2, 962) = ( 2 x 962 ) / 962
= 2 / 962
= 2
So, Greatest Common Divisor of 684, 206, 132, 962 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 206, 132, 962
The greatest common divisor of numbers 684, 206, 132, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 206, 132, 962 is 2.
1. What is the GCD of 684, 206, 132, 962?
GCD of given numbers 684, 206, 132, 962 is 2
2. How to calculate the greatest common divisor of 684, 206, 132, 962?
We can find the highest common divisor of 684, 206, 132, 962 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 684, 206, 132, 962 i.e 2.
3. How can I use the GCD of 684, 206, 132, 962Calculator?
Out the numbers 684, 206, 132, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.