Online GCD Calculator is useful to find the GCD of 342, 796, 966, 250 quickly. Get the easiest ways to solve the greatest common divisor of 342, 796, 966, 250 i.e 2 in different methods as follows.
Given Input numbers are 342, 796, 966, 250
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
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
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
GCD of numbers is the greatest common divisor
So, the GCD (342, 796, 966, 250) = 2.
Given numbers are 342, 796, 966, 250
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 796 are 2 x 2 x 199
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 250 are 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 342, 796, 966, 250 is 2.
Given numbers are 342, 796, 966, 250
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 796) = 136116
GCD(342, 796) = ( 342 x 796 ) / 136116
= 342 / 796
= 342
Step2:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
Step3:
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
= 2 / 250
= 2
So, Greatest Common Divisor of 342, 796, 966, 250 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 796, 966, 250
The greatest common divisor of numbers 342, 796, 966, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 796, 966, 250 is 2.
1. What is the GCD of 342, 796, 966, 250?
GCD of given numbers 342, 796, 966, 250 is 2
2. How to calculate the greatest common divisor of 342, 796, 966, 250?
We can find the highest common divisor of 342, 796, 966, 250 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 342, 796, 966, 250 i.e 2.
3. How can I use the GCD of 342, 796, 966, 250Calculator?
Out the numbers 342, 796, 966, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.