Online GCD Calculator is useful to find the GCD of 582, 898, 820, 338 quickly. Get the easiest ways to solve the greatest common divisor of 582, 898, 820, 338 i.e 2 in different methods as follows.
Given Input numbers are 582, 898, 820, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (582, 898, 820, 338) = 2.
Given numbers are 582, 898, 820, 338
The list of prime factors of all numbers are
Prime factors of 582 are 2 x 3 x 97
Prime factors of 898 are 2 x 449
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 582, 898, 820, 338 is 2.
Given numbers are 582, 898, 820, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(582, 898) = 261318
GCD(582, 898) = ( 582 x 898 ) / 261318
= 582 / 898
= 582
Step2:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 582, 898, 820, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 582, 898, 820, 338
The greatest common divisor of numbers 582, 898, 820, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 898, 820, 338 is 2.
1. What is the GCD of 582, 898, 820, 338?
GCD of given numbers 582, 898, 820, 338 is 2
2. How to calculate the greatest common divisor of 582, 898, 820, 338?
We can find the highest common divisor of 582, 898, 820, 338 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 582, 898, 820, 338 i.e 2.
3. How can I use the GCD of 582, 898, 820, 338Calculator?
Out the numbers 582, 898, 820, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.