Online GCD Calculator is useful to find the GCD of 382, 138, 466, 298 quickly. Get the easiest ways to solve the greatest common divisor of 382, 138, 466, 298 i.e 2 in different methods as follows.
Given Input numbers are 382, 138, 466, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (382, 138, 466, 298) = 2.
Given numbers are 382, 138, 466, 298
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 138 are 2 x 3 x 23
Prime factors of 466 are 2 x 233
Prime factors of 298 are 2 x 149
The highest common occurrence is 21
Therefore, GCD of 382, 138, 466, 298 is 2.
Given numbers are 382, 138, 466, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 138) = 26358
GCD(382, 138) = ( 382 x 138 ) / 26358
= 382 / 138
= 382
Step2:
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
= 2 / 466
= 2
Step3:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
So, Greatest Common Divisor of 382, 138, 466, 298 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 138, 466, 298
The greatest common divisor of numbers 382, 138, 466, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 138, 466, 298 is 2.
1. What is the GCD of 382, 138, 466, 298?
GCD of given numbers 382, 138, 466, 298 is 2
2. How to calculate the greatest common divisor of 382, 138, 466, 298?
We can find the highest common divisor of 382, 138, 466, 298 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 382, 138, 466, 298 i.e 2.
3. How can I use the GCD of 382, 138, 466, 298Calculator?
Out the numbers 382, 138, 466, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.