Online GCD Calculator is useful to find the GCD of 214, 496, 143, 660 quickly. Get the easiest ways to solve the greatest common divisor of 214, 496, 143, 660 i.e 1 in different methods as follows.
Given Input numbers are 214, 496, 143, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (214, 496, 143, 660) = 1.
Given numbers are 214, 496, 143, 660
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 143 are 11 x 13
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 214, 496, 143, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 496) = 53072
GCD(214, 496) = ( 214 x 496 ) / 53072
= 214 / 496
= 214
Step2:
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
= 2 / 143
= 2
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 214, 496, 143, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 214, 496, 143, 660
The greatest common divisor of numbers 214, 496, 143, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 496, 143, 660 is 1.
1. What is the GCD of 214, 496, 143, 660?
GCD of given numbers 214, 496, 143, 660 is 1
2. How to calculate the greatest common divisor of 214, 496, 143, 660?
We can find the highest common divisor of 214, 496, 143, 660 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 214, 496, 143, 660 i.e 1.
3. How can I use the GCD of 214, 496, 143, 660Calculator?
Out the numbers 214, 496, 143, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.