Online GCD Calculator is useful to find the GCD of 382, 140, 324, 590 quickly. Get the easiest ways to solve the greatest common divisor of 382, 140, 324, 590 i.e 2 in different methods as follows.
Given Input numbers are 382, 140, 324, 590
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 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (382, 140, 324, 590) = 2.
Given numbers are 382, 140, 324, 590
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 382, 140, 324, 590 is 2.
Given numbers are 382, 140, 324, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 140) = 26740
GCD(382, 140) = ( 382 x 140 ) / 26740
= 382 / 140
= 382
Step2:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
Step3:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
So, Greatest Common Divisor of 382, 140, 324, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 140, 324, 590
The greatest common divisor of numbers 382, 140, 324, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 140, 324, 590 is 2.
1. What is the GCD of 382, 140, 324, 590?
GCD of given numbers 382, 140, 324, 590 is 2
2. How to calculate the greatest common divisor of 382, 140, 324, 590?
We can find the highest common divisor of 382, 140, 324, 590 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, 140, 324, 590 i.e 2.
3. How can I use the GCD of 382, 140, 324, 590Calculator?
Out the numbers 382, 140, 324, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.