Online GCD Calculator is useful to find the GCD of 840, 266, 104, 966 quickly. Get the easiest ways to solve the greatest common divisor of 840, 266, 104, 966 i.e 2 in different methods as follows.
Given Input numbers are 840, 266, 104, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (840, 266, 104, 966) = 2.
Given numbers are 840, 266, 104, 966
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 266 are 2 x 7 x 19
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 840, 266, 104, 966 is 2.
Given numbers are 840, 266, 104, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 266) = 15960
GCD(840, 266) = ( 840 x 266 ) / 15960
= 840 / 266
= 840
Step2:
LCM(14, 104) = 728
GCD(14, 104) = ( 14 x 104 ) / 728
= 14 / 104
= 14
Step3:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
So, Greatest Common Divisor of 840, 266, 104, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 266, 104, 966
The greatest common divisor of numbers 840, 266, 104, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 266, 104, 966 is 2.
1. What is the GCD of 840, 266, 104, 966?
GCD of given numbers 840, 266, 104, 966 is 2
2. How to calculate the greatest common divisor of 840, 266, 104, 966?
We can find the highest common divisor of 840, 266, 104, 966 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 840, 266, 104, 966 i.e 2.
3. How can I use the GCD of 840, 266, 104, 966Calculator?
Out the numbers 840, 266, 104, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.