Online GCD Calculator is useful to find the GCD of 820, 312, 662, 582 quickly. Get the easiest ways to solve the greatest common divisor of 820, 312, 662, 582 i.e 2 in different methods as follows.
Given Input numbers are 820, 312, 662, 582
In the factoring method, we have to find the divisors of all numbers
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 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
GCD of numbers is the greatest common divisor
So, the GCD (820, 312, 662, 582) = 2.
Given numbers are 820, 312, 662, 582
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 662 are 2 x 331
Prime factors of 582 are 2 x 3 x 97
The highest common occurrence is 21
Therefore, GCD of 820, 312, 662, 582 is 2.
Given numbers are 820, 312, 662, 582
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 312) = 63960
GCD(820, 312) = ( 820 x 312 ) / 63960
= 820 / 312
= 820
Step2:
LCM(4, 662) = 1324
GCD(4, 662) = ( 4 x 662 ) / 1324
= 4 / 662
= 4
Step3:
LCM(2, 582) = 582
GCD(2, 582) = ( 2 x 582 ) / 582
= 2 / 582
= 2
So, Greatest Common Divisor of 820, 312, 662, 582 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 312, 662, 582
The greatest common divisor of numbers 820, 312, 662, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 312, 662, 582 is 2.
1. What is the GCD of 820, 312, 662, 582?
GCD of given numbers 820, 312, 662, 582 is 2
2. How to calculate the greatest common divisor of 820, 312, 662, 582?
We can find the highest common divisor of 820, 312, 662, 582 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 820, 312, 662, 582 i.e 2.
3. How can I use the GCD of 820, 312, 662, 582Calculator?
Out the numbers 820, 312, 662, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.