Online GCD Calculator is useful to find the GCD of 284, 304, 204, 143 quickly. Get the easiest ways to solve the greatest common divisor of 284, 304, 204, 143 i.e 1 in different methods as follows.
Given Input numbers are 284, 304, 204, 143
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (284, 304, 204, 143) = 1.
Given numbers are 284, 304, 204, 143
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 284, 304, 204, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 304) = 21584
GCD(284, 304) = ( 284 x 304 ) / 21584
= 284 / 304
= 284
Step2:
LCM(4, 204) = 204
GCD(4, 204) = ( 4 x 204 ) / 204
= 4 / 204
= 4
Step3:
LCM(4, 143) = 572
GCD(4, 143) = ( 4 x 143 ) / 572
= 4 / 143
= 4
So, Greatest Common Divisor of 284, 304, 204, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 304, 204, 143
The greatest common divisor of numbers 284, 304, 204, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 304, 204, 143 is 1.
1. What is the GCD of 284, 304, 204, 143?
GCD of given numbers 284, 304, 204, 143 is 1
2. How to calculate the greatest common divisor of 284, 304, 204, 143?
We can find the highest common divisor of 284, 304, 204, 143 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 284, 304, 204, 143 i.e 1.
3. How can I use the GCD of 284, 304, 204, 143Calculator?
Out the numbers 284, 304, 204, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.