Online GCD Calculator is useful to find the GCD of 730, 684, 828, 898 quickly. Get the easiest ways to solve the greatest common divisor of 730, 684, 828, 898 i.e 2 in different methods as follows.
Given Input numbers are 730, 684, 828, 898
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (730, 684, 828, 898) = 2.
Given numbers are 730, 684, 828, 898
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 898 are 2 x 449
The highest common occurrence is 21
Therefore, GCD of 730, 684, 828, 898 is 2.
Given numbers are 730, 684, 828, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 684) = 249660
GCD(730, 684) = ( 730 x 684 ) / 249660
= 730 / 684
= 730
Step2:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
Step3:
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
= 2 / 898
= 2
So, Greatest Common Divisor of 730, 684, 828, 898 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 684, 828, 898
The greatest common divisor of numbers 730, 684, 828, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 684, 828, 898 is 2.
1. What is the GCD of 730, 684, 828, 898?
GCD of given numbers 730, 684, 828, 898 is 2
2. How to calculate the greatest common divisor of 730, 684, 828, 898?
We can find the highest common divisor of 730, 684, 828, 898 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, 684, 828, 898 i.e 2.
3. How can I use the GCD of 730, 684, 828, 898Calculator?
Out the numbers 730, 684, 828, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.