Online GCD Calculator is useful to find the GCD of 956, 444, 664, 214 quickly. Get the easiest ways to solve the greatest common divisor of 956, 444, 664, 214 i.e 2 in different methods as follows.
Given Input numbers are 956, 444, 664, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (956, 444, 664, 214) = 2.
Given numbers are 956, 444, 664, 214
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 214 are 2 x 107
The highest common occurrence is 21
Therefore, GCD of 956, 444, 664, 214 is 2.
Given numbers are 956, 444, 664, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 444) = 106116
GCD(956, 444) = ( 956 x 444 ) / 106116
= 956 / 444
= 956
Step2:
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
= 4 / 664
= 4
Step3:
LCM(4, 214) = 428
GCD(4, 214) = ( 4 x 214 ) / 428
= 4 / 214
= 4
So, Greatest Common Divisor of 956, 444, 664, 214 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 956, 444, 664, 214
The greatest common divisor of numbers 956, 444, 664, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 444, 664, 214 is 2.
1. What is the GCD of 956, 444, 664, 214?
GCD of given numbers 956, 444, 664, 214 is 2
2. How to calculate the greatest common divisor of 956, 444, 664, 214?
We can find the highest common divisor of 956, 444, 664, 214 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 956, 444, 664, 214 i.e 2.
3. How can I use the GCD of 956, 444, 664, 214Calculator?
Out the numbers 956, 444, 664, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.