Online GCD Calculator is useful to find the GCD of 730, 420, 822, 804 quickly. Get the easiest ways to solve the greatest common divisor of 730, 420, 822, 804 i.e 2 in different methods as follows.
Given Input numbers are 730, 420, 822, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
GCD of numbers is the greatest common divisor
So, the GCD (730, 420, 822, 804) = 2.
Given numbers are 730, 420, 822, 804
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 822 are 2 x 3 x 137
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 730, 420, 822, 804 is 2.
Given numbers are 730, 420, 822, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 420) = 30660
GCD(730, 420) = ( 730 x 420 ) / 30660
= 730 / 420
= 730
Step2:
LCM(10, 822) = 4110
GCD(10, 822) = ( 10 x 822 ) / 4110
= 10 / 822
= 10
Step3:
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
= 2 / 804
= 2
So, Greatest Common Divisor of 730, 420, 822, 804 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 420, 822, 804
The greatest common divisor of numbers 730, 420, 822, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 420, 822, 804 is 2.
1. What is the GCD of 730, 420, 822, 804?
GCD of given numbers 730, 420, 822, 804 is 2
2. How to calculate the greatest common divisor of 730, 420, 822, 804?
We can find the highest common divisor of 730, 420, 822, 804 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 730, 420, 822, 804 i.e 2.
3. How can I use the GCD of 730, 420, 822, 804Calculator?
Out the numbers 730, 420, 822, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.