Online GCD Calculator is useful to find the GCD of 102, 143, 318, 381 quickly. Get the easiest ways to solve the greatest common divisor of 102, 143, 318, 381 i.e 1 in different methods as follows.
Given Input numbers are 102, 143, 318, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (102, 143, 318, 381) = 1.
Given numbers are 102, 143, 318, 381
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 143 are 11 x 13
Prime factors of 318 are 2 x 3 x 53
Prime factors of 381 are 3 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 102, 143, 318, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 143) = 14586
GCD(102, 143) = ( 102 x 143 ) / 14586
= 102 / 143
= 102
Step2:
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
= 1 / 318
= 1
Step3:
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
= 1 / 381
= 1
So, Greatest Common Divisor of 102, 143, 318, 381 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 102, 143, 318, 381
The greatest common divisor of numbers 102, 143, 318, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 143, 318, 381 is 1.
1. What is the GCD of 102, 143, 318, 381?
GCD of given numbers 102, 143, 318, 381 is 1
2. How to calculate the greatest common divisor of 102, 143, 318, 381?
We can find the highest common divisor of 102, 143, 318, 381 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 102, 143, 318, 381 i.e 1.
3. How can I use the GCD of 102, 143, 318, 381Calculator?
Out the numbers 102, 143, 318, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.