Online GCD Calculator is useful to find the GCD of 382, 724, 890, 536 quickly. Get the easiest ways to solve the greatest common divisor of 382, 724, 890, 536 i.e 2 in different methods as follows.
Given Input numbers are 382, 724, 890, 536
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (382, 724, 890, 536) = 2.
Given numbers are 382, 724, 890, 536
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 724 are 2 x 2 x 181
Prime factors of 890 are 2 x 5 x 89
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 382, 724, 890, 536 is 2.
Given numbers are 382, 724, 890, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 724) = 138284
GCD(382, 724) = ( 382 x 724 ) / 138284
= 382 / 724
= 382
Step2:
LCM(2, 890) = 890
GCD(2, 890) = ( 2 x 890 ) / 890
= 2 / 890
= 2
Step3:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
So, Greatest Common Divisor of 382, 724, 890, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 724, 890, 536
The greatest common divisor of numbers 382, 724, 890, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 724, 890, 536 is 2.
1. What is the GCD of 382, 724, 890, 536?
GCD of given numbers 382, 724, 890, 536 is 2
2. How to calculate the greatest common divisor of 382, 724, 890, 536?
We can find the highest common divisor of 382, 724, 890, 536 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, 724, 890, 536 i.e 2.
3. How can I use the GCD of 382, 724, 890, 536Calculator?
Out the numbers 382, 724, 890, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.