Online GCD Calculator is useful to find the GCD of 381, 702, 582, 903 quickly. Get the easiest ways to solve the greatest common divisor of 381, 702, 582, 903 i.e 3 in different methods as follows.
Given Input numbers are 381, 702, 582, 903
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
GCD of numbers is the greatest common divisor
So, the GCD (381, 702, 582, 903) = 3.
Given numbers are 381, 702, 582, 903
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 582 are 2 x 3 x 97
Prime factors of 903 are 3 x 7 x 43
The highest common occurrence is 31
Therefore, GCD of 381, 702, 582, 903 is 3.
Given numbers are 381, 702, 582, 903
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 702) = 89154
GCD(381, 702) = ( 381 x 702 ) / 89154
= 381 / 702
= 381
Step2:
LCM(3, 582) = 582
GCD(3, 582) = ( 3 x 582 ) / 582
= 3 / 582
= 3
Step3:
LCM(3, 903) = 903
GCD(3, 903) = ( 3 x 903 ) / 903
= 3 / 903
= 3
So, Greatest Common Divisor of 381, 702, 582, 903 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 381, 702, 582, 903
The greatest common divisor of numbers 381, 702, 582, 903 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 702, 582, 903 is 3.
1. What is the GCD of 381, 702, 582, 903?
GCD of given numbers 381, 702, 582, 903 is 3
2. How to calculate the greatest common divisor of 381, 702, 582, 903?
We can find the highest common divisor of 381, 702, 582, 903 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 381, 702, 582, 903 i.e 3.
3. How can I use the GCD of 381, 702, 582, 903Calculator?
Out the numbers 381, 702, 582, 903 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.